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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#243972 | #7759. Permutation Counting 2 | zhouhuanyi | 100 ✓ | 2323ms | 10428kb | C++14 | 1.9kb | 2023-11-08 19:55:07 | 2023-11-08 19:55:07 |
Judging History
answer
#include<iostream>
#include<cstdio>
#define N 250000
#define M 500
using namespace std;
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 n,mod,fac[N+1],invfac[N+1],Cs[M+1][M+1],W[M+1][M+1],F[M+1][M+1],G[M+1][M+1],H[M+1][M+1];
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 fast_pow(int a,int b)
{
int res=1,mul=a;
while (b)
{
if (b&1) res=1ll*res*mul%mod;
mul=1ll*mul*mul%mod,b>>=1;
}
return res;
}
int C(int x,int y)
{
if (x<y) return 0;
return 1ll*fac[x]*invfac[y]%mod*invfac[x-y]%mod;
}
int main()
{
n=read(),mod=read(),fac[0]=1;
for (int i=1;i<=N;++i) fac[i]=1ll*fac[i-1]*i%mod;
invfac[N]=fast_pow(fac[N],mod-2);
for (int i=N-1;i>=0;--i) invfac[i]=1ll*invfac[i+1]*(i+1)%mod;
for (int i=0;i<=M;++i)
for (int j=0;j<=i;++j)
Cs[i][j]=1ll*fac[i]*invfac[j]%mod*invfac[i-j]%mod;
for (int i=1;i<=n;++i)
for (int j=1;j<=n;++j)
for (int k=1;k<=j;++k)
{
if (!((j-k)&1)) Adder(W[i][j],1ll*Cs[j][k]*C(i*k,n)%mod);
else Adder2(W[i][j],-1ll*Cs[j][k]*C(i*k,n)%mod);
}
for (int i=1;i<=n;++i)
for (int j=0;j<=n-1;++j)
for (int k=j;k<=n-1;++k)
{
if (!((k-j)&1)) Adder(F[i][j],1ll*Cs[k][j]*W[i][n-k]%mod);
else Adder2(F[i][j],-1ll*Cs[k][j]*W[i][n-k]%mod);
}
for (int i=1;i<=n;++i)
for (int j=0;j<=n-1;++j)
for (int k=1;k<=i;++k)
{
if (!((i-k)&1)) Adder(G[i][j],1ll*Cs[i][k]*F[k][j]%mod);
else Adder2(G[i][j],-1ll*Cs[i][k]*F[k][j]%mod);
}
for (int i=0;i<=n-1;++i)
for (int j=0;j<=n-1;++j)
for (int k=i;k<=n-1;++k)
{
if (!((k-i)&1)) Adder(H[i][j],1ll*Cs[k][i]*G[n-k][j]%mod);
else Adder2(H[i][j],-1ll*Cs[k][i]*G[n-k][j]%mod);
}
for (int i=0;i<=n-1;++i)
{
for (int j=0;j<=n-1;++j) printf("%d ",H[i][n-1-j]);
puts("");
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 3ms
memory: 6544kb
input:
7 1001458121
output:
1 0 0 0 0 0 0 0 56 56 8 0 0 0 0 56 659 440 36 0 0 0 8 440 1520 440 8 0 0 0 36 440 659 56 0 0 0 0 8 56 56 0 0 0 0 0 0 0 1
result:
ok 49 tokens
Test #2:
score: 0
Accepted
time: 3ms
memory: 6596kb
input:
8 1008735209
output:
1 0 0 0 0 0 0 0 0 84 126 36 1 0 0 0 0 126 1773 1980 405 9 0 0 0 36 1980 8436 4761 405 1 0 0 1 405 4761 8436 1980 36 0 0 0 9 405 1980 1773 126 0 0 0 0 1 36 126 84 0 0 0 0 0 0 0 0 1
result:
ok 64 tokens
Subtask #2:
score: 15
Accepted
Test #3:
score: 15
Accepted
time: 6ms
memory: 6644kb
input:
14 1000253273
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 455 3003 6435 5005 1365 105 1 0 0 0 0 0 0 0 3003 112905 730665 1629435 1456560 529956 71940 2835 15 0 0 0 0 0 6435 730665 10865585 46433475 75169560 50184540 13633740 1349931 36735 120 0 0 0 0 5005 1629435 46433475 336576825 860578230 885230850 375891370 62035485 33...
result:
ok 196 tokens
Test #4:
score: 0
Accepted
time: 6ms
memory: 6820kb
input:
15 1009800301
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 560 4368 11440 11440 4368 560 16 0 0 0 0 0 0 0 0 4368 188682 1482416 4160120 4899264 2511376 536384 41328 800 1 0 0 0 0 0 11440 1482416 26232784 139089120 291102560 265085216 106311200 17712368 1048560 15232 16 0 0 0 0 11440 4160120 139089120 216926039 947184153 3...
result:
ok 225 tokens
Test #5:
score: 0
Accepted
time: 6ms
memory: 6784kb
input:
16 1006729121
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 680 6188 19448 24310 12376 2380 136 1 0 0 0 0 0 0 0 0 6188 305150 2867696 9916066 14924539 10288876 3196000 410329 17748 153 0 0 0 0 0 0 19448 2867696 59852036 387206263 15304436 216863763 683915984 173666645 18275272 650641 4828 1 0 0 0 0 24310 9916066 38720626...
result:
ok 256 tokens
Subtask #3:
score: 25
Accepted
Test #6:
score: 25
Accepted
time: 7ms
memory: 6976kb
input:
36 1003299797
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7770 435897 10295472 124403620 854992152 552567909 334501587 855871755 616535351 836177106 87288018 849183199 348330136 38608020 2324784 66045 666 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 435897 133844910 939232742 752696285 94...
result:
ok 1296 tokens
Test #7:
score: 0
Accepted
time: 7ms
memory: 6736kb
input:
37 1009736899
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8436 501942 12620256 163011640 193585389 366265801 325233075 508510208 4472335 508510208 325233075 366265801 193585389 163011640 12620256 501942 8436 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 501942 164674938 380061172 7953...
result:
ok 1369 tokens
Test #8:
score: 0
Accepted
time: 3ms
memory: 6988kb
input:
38 1002064493
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9139 575757 15380937 211915132 673991551 105909500 89228335 917893160 782878886 231145424 634874749 53537001 904603957 635745396 61523748 3262623 82251 741 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 575757 201514950 2661126...
result:
ok 1444 tokens
Test #9:
score: 0
Accepted
time: 7ms
memory: 6804kb
input:
39 1000696681
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9880 658008 18643560 273438880 310408078 24862708 197477816 671070872 191143189 191143189 671070872 197477816 24862708 310408078 273438880 18643560 658008 9880 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 658008 24533645...
result:
ok 1521 tokens
Test #10:
score: 0
Accepted
time: 3ms
memory: 6840kb
input:
40 1002813283
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10660 749398 22481940 350343565 151022119 572250549 255038067 159674717 979042431 374977376 547170717 790491840 141687815 878961939 118286125 95548245 4496388 101270 820 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7493...
result:
ok 1600 tokens
Subtask #4:
score: 25
Accepted
Test #11:
score: 25
Accepted
time: 20ms
memory: 7264kb
input:
96 1005401729
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 147440 64446024 781420036 468430311 27733626 62151757 454795566 711626792 885805006 401110492 711423106 3...
result:
ok 9216 tokens
Test #12:
score: 0
Accepted
time: 23ms
memory: 7456kb
input:
97 1003022927
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 152096 67910864 795115101 924546504 230011659 577127906 564913191 11843263 171607987 697964156 4314087 ...
result:
ok 9409 tokens
Test #13:
score: 0
Accepted
time: 20ms
memory: 7296kb
input:
98 1000259233
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 156849 71523144 883402282 582472554 858367843 730708960 476781508 806308877 286962083 221796390 32768...
result:
ok 9604 tokens
Test #14:
score: 0
Accepted
time: 17ms
memory: 7480kb
input:
99 1000444889
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 161700 75287520 442576 386074411 823487426 504618380 971268883 734797176 388493421 848753352 857480...
result:
ok 9801 tokens
Test #15:
score: 0
Accepted
time: 18ms
memory: 7448kb
input:
100 1008746839
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 166650 79208745 50916937 213745970 953400361 882774939 595265332 362179793 339853992 820776686 20...
result:
ok 10000 tokens
Subtask #5:
score: 25
Accepted
Test #16:
score: 25
Accepted
time: 2253ms
memory: 10408kb
input:
496 1005266363
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 246016 tokens
Test #17:
score: 0
Accepted
time: 2273ms
memory: 10400kb
input:
497 1000331767
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 247009 tokens
Test #18:
score: 0
Accepted
time: 2291ms
memory: 10428kb
input:
498 1000148759
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 248004 tokens
Test #19:
score: 0
Accepted
time: 2305ms
memory: 10308kb
input:
499 1000176851
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 249001 tokens
Test #20:
score: 0
Accepted
time: 2323ms
memory: 10308kb
input:
500 1002873259
output:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 250000 tokens