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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#250028#7759. Permutation Counting 2Nesraychan100 ✓1387ms17304kbC++142.2kb2023-11-12 20:28:122023-11-12 20:28:13

Judging History

This is the latest submission verdict.

  • [2023-11-12 20:28:13]
  • Judged
  • Verdict: 100
  • Time: 1387ms
  • Memory: 17304kb
  • [2023-11-12 20:28:12]
  • Submitted

answer

#include<bits/stdc++.h>
#define IL inline
#define reg register
#define N 505
IL int read()
{
    reg int x=0; reg char ch=getchar();
    while(ch<'0'||ch>'9')ch=getchar();
    while(ch>='0'&&ch<='9')x=x*10+ch-'0',ch=getchar();
    return x;
}

int mod;

typedef unsigned long long u64;
typedef __uint128_t u128;

struct fastmod {
  int m;
  u64 b;

  fastmod(int m) : m(m), b(((u128)1 << 64) / m) {}
  int reduce(u64 a) {
    u64 q = ((u128)a * b) >> 64;
    int r = a - q * m;
    return r < m ? r : r - m;
  }
} z(2);

IL int Add(reg int x,reg int y){return x+y<mod?x+y:x+y-mod;}
IL int Sub(reg int x,reg int y){return x<y?x-y+mod:x-y;}
IL void Pls(reg int &x,reg int y){x=Add(x,y);}
IL void Dec(reg int &x,reg int y){x=Sub(x,y);}
IL int Mul(reg int x,reg int y){reg long long r=1ll*x*y; return r<mod?r:z.reduce(r);}

int fac[1000100],ifac[1000100],inv[1000100];

IL void init(reg int n)
{
    fac[0]=ifac[0]=inv[1]=1;
    for(reg int i=2;i<=n;++i)inv[i]=Mul(mod-mod/i,inv[mod%i]);
    for(reg int i=1;i<=n;++i)fac[i]=Mul(fac[i-1],i),ifac[i]=Mul(ifac[i-1],inv[i]);
}

IL int C(reg int n,reg int m){return Mul(fac[n],Mul(ifac[m],ifac[n-m]));}

int n,f[N][N],g[N][N];

main()
{
    n=read(),z=fastmod(mod=read()),init(1e6);
    for(reg int i=1,j;i<=n;++i)for(j=1;j<=n;++j)f[i][j]=C(i*j+n-1,n);
    for(reg int i=1,j,k,w;i<=n;++i)for(j=1;j<=n;++j)for(k=1;k<=i;++k)
    {
    	w=Mul(C(i,k),f[k][j]);
    	if(i-k&1)Dec(g[i][j],w); else Pls(g[i][j],w);
	}
	for(reg int i=1,j;i<=n;++i)for(j=1;j<=n;++j)f[i][j]=g[i][j],g[i][j]=0;
    for(reg int i=1,j,k,w;i<=n;++i)for(j=1;j<=n;++j)for(k=1;k<=j;++k)
    {
    	w=Mul(C(j,k),f[i][k]);
    	if(j-k&1)Dec(g[i][j],w); else Pls(g[i][j],w);
	}
	for(reg int i=1,j;i<=n;++i)for(j=1;j<=n;++j)f[n-i][n-j]=g[i][j],g[i][j]=0;
	for(reg int i=0,j,k,w;i<n;++i)for(j=0;j<n;++j)for(k=i;k<n;++k)
	{
		w=Mul(C(k,i),f[k][j]);
		if(k-i&1)Dec(g[i][j],w); else Pls(g[i][j],w);
	}
	for(reg int i=0,j;i<n;++i)for(j=0;j<n;++j)f[i][j]=g[i][j],g[i][j]=0;
	for(reg int i=0,j,k,w;i<n;++i)for(j=0;j<n;++j)for(k=j;k<n;++k)
	{
		w=Mul(C(k,j),f[i][k]);
		if(k-j&1)Dec(g[i][j],w); else Pls(g[i][j],w);
	}	
    for(reg int i=0,j;i<n;++i)for(j=0;j<n;++j)printf("%d%c",g[i][j]," \n"[j==n-1]);
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 7ms
memory: 16872kb

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: 7ms
memory: 16292kb

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: 7ms
memory: 15412kb

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: 7ms
memory: 15900kb

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: 10ms
memory: 16304kb

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: 10ms
memory: 15460kb

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: 7ms
memory: 16016kb

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: 7ms
memory: 17276kb

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: 7ms
memory: 15724kb

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: 11ms
memory: 16252kb

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: 17ms
memory: 15656kb

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: 17ms
memory: 16084kb

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: 21ms
memory: 16132kb

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: 21ms
memory: 16712kb

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: 18ms
memory: 16324kb

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: 1361ms
memory: 17284kb

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: 1345ms
memory: 17304kb

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: 1360ms
memory: 17300kb

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: 1376ms
memory: 17304kb

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: 1387ms
memory: 17300kb

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