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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#416344#7759. Permutation Counting 2JohnAlfnov100 ✓1304ms10952kbC++141.3kb2024-05-21 19:34:542024-05-21 19:34:54

Judging History

你现在查看的是最新测评结果

  • [2024-05-21 19:34:54]
  • 评测
  • 测评结果:100
  • 用时:1304ms
  • 内存:10952kb
  • [2024-05-21 19:34:54]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
int n,mod;
int powdv(int x,int y=mod-2){
	int ans=1;
	while(y){
		if(y&1)ans=1ll*ans*x%mod;
		y>>=1,x=1ll*x*x%mod;
	}
	return ans;
}
int C[505][505];
int CC[260005];
int wz[505][505],zw[505][505],ww[505][505];
int ht[505][505],ts[505][505];
int main(){
	scanf("%d%d",&n,&mod);
	CC[n]=1;
	for(int i=n+1;i<=n*n+n;++i){
		CC[i]=1ll*CC[i-1]*i%mod*powdv(i-n)%mod;
	}
	for(int i=0;i<=n;++i){
		C[i][0]=1;
		for(int j=1;j<=i;++j){
			C[i][j]=(C[i-1][j]+C[i-1][j-1])%mod;
		}
	}
	for(int i=0;i<=n;++i)for(int j=0;j<=n;++j)wz[i][j]=CC[n-1+i*j];
	for(int i=0;i<=n;++i){
		for(int j=0;j<=n;++j){
			for(int k=0;k<=j;++k)
				zw[i][j]=(zw[i][j]+1ll*((j-k)&1?-1:1)*wz[i][k]*C[j][k])%mod;
		}
	}
	for(int j=0;j<=n;++j)
		for(int i=0;i<=n;++i)
			for(int k=0;k<=i;++k)
				ww[i][j]=(ww[i][j]+1ll*((i-k)&1?-1:1)*zw[k][j]*C[i][k])%mod;
	for(int i=0;i<=n;++i){
		for(int j=n;j>=0;--j){
			for(int k=j;k<=n;++k)
				ht[i][k]=(ht[i][k]+1ll*((k-j)&1?-1:1)*ww[i][j]*C[n-j][n-k])%mod;
		}
	}
	for(int j=0;j<=n;++j){
		for(int i=n;i>=0;--i)
			for(int k=i;k<=n;++k)
				ts[k][j]=(ts[k][j]+1ll*((k-i)&1?-1:1)*ht[i][j]*C[n-i][n-k])%mod;
	}
	for(int i=0;i<n;++i)for(int j=0;j<n;++j){
		int ans=(ts[n-i][n-j]+mod)%mod;
		printf("%d",ans);putchar(j==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: 1ms
memory: 5972kb

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: 1ms
memory: 7984kb

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: 1ms
memory: 5996kb

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: 1ms
memory: 6120kb

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: 0ms
memory: 8024kb

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: 2ms
memory: 6332kb

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: 2ms
memory: 6400kb

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: 2ms
memory: 6296kb

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: 2ms
memory: 8240kb

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: 2ms
memory: 6328kb

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: 13ms
memory: 6808kb

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: 10ms
memory: 8520kb

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: 14ms
memory: 8532kb

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: 14ms
memory: 6948kb

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: 9ms
memory: 8540kb

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: 1278ms
memory: 10800kb

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: 1293ms
memory: 10680kb

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: 1292ms
memory: 10824kb

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: 1303ms
memory: 10764kb

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: 1304ms
memory: 10952kb

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