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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#245960#7759. Permutation Counting 2grass8cow100 ✓2206ms16592kbC++141.5kb2023-11-10 14:50:102023-11-10 14:50:10

Judging History

你现在查看的是最新测评结果

  • [2023-11-10 14:50:10]
  • 评测
  • 测评结果:100
  • 用时:2206ms
  • 内存:16592kb
  • [2023-11-10 14:50:10]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int N=1e6;
int n,mod,jc[1000010],ij[1000010];
int qpow(int a,int b){
	int c=1;
	for(;b;b>>=1){
		if(b&1)c=1ll*a*c%mod;
		a=1ll*a*a%mod;
	}
	return c;
}
int f[510][510],g[510][510],dp[510][510],h[510][510],fz[510][510];
int C[510][510];
int E(int a,int b){return 1ll*jc[a]*ij[b]%mod*ij[a-b]%mod;}
//int P(int a,int b){return C(a+b-1,b-1);} 
int main(){
	scanf("%d%d",&n,&mod);
	jc[0]=1;
    C[0][0]=1;
    for(int i=1;i<=n;i++){
        C[i][0]=1;
        for(int j=1;j<=i;j++)C[i][j]=(C[i-1][j-1]+C[i-1][j])%mod;
    }
	for(int i=1;i<=N;i++)jc[i]=1ll*i*jc[i-1]%mod;ij[N]=qpow(jc[N],mod-2);
	for(int i=N;i;i--)ij[i-1]=1ll*ij[i]*i%mod;
	for(int d=1;d<=n;d++){
		for(int i=1;i<=n;i++)for(int j=0;j<i;j++)
		(f[i][d]+=((j&1)?-1ll:1ll)*C[i][j]*E(n+(i-j)*d-1,(i-j)*d-1)%mod)%=mod;
	}
	for(int a=1;a<=n;a++)for(int b=1;b<=n;b++)for(int c=0;c<b;c++)
	(g[n-a][n-b]+=((c&1)?-1ll:1ll)*f[a][b-c]*C[b][c]%mod)%=mod;
	for(int a=0;a<n;a++)for(int b=a;b<n;b++)for(int d=0;d<n;d++)
	(fz[a][d]+=(((b-a)&1)?-1ll:1ll)*g[b][d]*C[b][a]%mod)%=mod;
	for(int a=0;a<n;a++)for(int c=0;c<n;c++)for(int d=c;d<n;d++)
	(h[a][c]+=(((d-c)&1)?-1ll:1ll)*fz[a][d]*C[d][c]%mod)%=mod;
	/*for(int a=0;a<n;a++)for(int b=a;b<n;b++)for(int c=0;c<n;c++)for(int d=c;d<n;d++)
	(h[a][c]+=(((b-a+d-c)&1)?-1ll:1ll)*g[b][d]*C(b,a)%mod*C(d,c)%mod)%=mod;*/
	for(int a=0;a<n;a++)for(int c=0;c<n;c++)printf("%d%c",(h[a][c]+mod)%mod,(c==n-1)?'\n':' ');
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 16ms
memory: 12764kb

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: 12ms
memory: 12760kb

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: 12ms
memory: 11728kb

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 332475...

result:

ok 196 tokens

Test #4:

score: 0
Accepted
time: 12ms
memory: 13400kb

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 39833...

result:

ok 225 tokens

Test #5:

score: 0
Accepted
time: 15ms
memory: 12056kb

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 387206263 82...

result:

ok 256 tokens

Subtask #3:

score: 25
Accepted

Test #6:

score: 25
Accepted
time: 17ms
memory: 13600kb

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 9488...

result:

ok 1296 tokens

Test #7:

score: 0
Accepted
time: 17ms
memory: 12140kb

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 795391...

result:

ok 1369 tokens

Test #8:

score: 0
Accepted
time: 16ms
memory: 12760kb

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 26611267 ...

result:

ok 1444 tokens

Test #9:

score: 0
Accepted
time: 17ms
memory: 12492kb

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 245336455 ...

result:

ok 1521 tokens

Test #10:

score: 0
Accepted
time: 13ms
memory: 12436kb

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 749398...

result:

ok 1600 tokens

Subtask #4:

score: 25
Accepted

Test #11:

score: 25
Accepted
time: 32ms
memory: 12632kb

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 32...

result:

ok 9216 tokens

Test #12:

score: 0
Accepted
time: 32ms
memory: 13200kb

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 7...

result:

ok 9409 tokens

Test #13:

score: 0
Accepted
time: 33ms
memory: 15896kb

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 327681...

result:

ok 9604 tokens

Test #14:

score: 0
Accepted
time: 33ms
memory: 13220kb

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 8574809...

result:

ok 9801 tokens

Test #15:

score: 0
Accepted
time: 26ms
memory: 13064kb

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 204...

result:

ok 10000 tokens

Subtask #5:

score: 25
Accepted

Test #16:

score: 25
Accepted
time: 2150ms
memory: 16420kb

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: 2167ms
memory: 16532kb

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: 2187ms
memory: 16592kb

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: 2195ms
memory: 16540kb

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: 2206ms
memory: 16456kb

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