QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#245259#7759. Permutation Counting 2zyz07100 ✓1670ms506652kbC++171.2kb2023-11-09 20:08:332023-11-09 20:08:35

Judging History

你现在查看的是最新测评结果

  • [2023-11-09 20:08:35]
  • 评测
  • 测评结果:100
  • 用时:1670ms
  • 内存:506652kb
  • [2023-11-09 20:08:33]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define For(Ti,Ta,Tb) for(auto Ti=(Ta);Ti<=(Tb);++Ti)
#define Dec(Ti,Ta,Tb) for(auto Ti=(Ta);Ti>=(Tb);--Ti)
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define range(Tx) begin(Tx),end(Tx)
using ll=long long;
const int N=502;
int n,mod,C[N*N][N];
ll f1[N][N],f2[N][N],f3[N][N],f[N][N],g[N][N],h[N][N];
int main(){
	cin.tie(nullptr)->sync_with_stdio(false);
	cin>>n>>mod;
	For(i,0,n*n+n){
		For(j,0,min(n,i)){
			C[i][j]=j?(C[i-1][j]+C[i-1][j-1])%mod:1;
		}
	}
	For(i,0,n){
		For(j,0,n){
			f1[i][j]=C[n+i*j-1][n];
		}
	}
	For(i,1,n){
		For(j,1,n){
			For(k,0,j){
				(f2[i][j]+=C[j][k]*((j-k)%2?-1:1)*f1[i][k])%=mod;
			}
		}
	}
	For(i,1,n){
		For(j,1,n){
			For(k,0,i){
				(f3[i][j]+=C[i][k]*((i-k)%2?-1:1)*f2[k][j])%=mod;
			}
		}
	}
	For(a,0,n-1){
		For(b,0,n-1){
			f[a][b]=f3[n-a][n-b];
		}
	}
	For(a,0,n-1){
		For(b,0,n-1){
			For(i,b,n-1){
				(g[a][b]+=f[a][i]*((i-b)%2?-1:1)*C[i][b])%=mod;
			}
		}
	}
	For(a,0,n-1){
		For(b,0,n-1){
			For(i,a,n-1){
				(h[a][b]+=g[i][b]*((i-a)%2?-1:1)*C[i][a])%=mod;
			}
			cout<<(h[a][b]%mod+mod)%mod<<" \n"[b==n-1];
		}
	}
	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: 9880kb

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: 2ms
memory: 11896kb

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: 0ms
memory: 10076kb

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: 0ms
memory: 12004kb

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: 1ms
memory: 10016kb

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: 12400kb

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: 0ms
memory: 12404kb

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: 12432kb

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: 3ms
memory: 14480kb

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: 12408kb

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: 15ms
memory: 29708kb

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: 15ms
memory: 29724kb

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: 8ms
memory: 29852kb

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: 13ms
memory: 29764kb

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: 17ms
memory: 29864kb

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: 1617ms
memory: 498704kb

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: 1589ms
memory: 500800kb

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: 1670ms
memory: 502708kb

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: 1610ms
memory: 504748kb

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: 1665ms
memory: 506652kb

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