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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#422559#7759. Permutation Counting 2fireince75 38ms10300kbC++141.9kb2024-05-27 16:11:332024-05-27 16:11:33

Judging History

你现在查看的是最新测评结果

  • [2024-05-27 16:11:33]
  • 评测
  • 测评结果:75
  • 用时:38ms
  • 内存:10300kb
  • [2024-05-27 16:11:33]
  • 提交

answer

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<vector>
#include<cstring>
#include<array>
#define endl '\n'
using namespace std;
using ll = long long;
using pi2 = array<int,2>;
using pi3 = array<int,3>;

int n,P;

const int N=505,FN=N*N;

ll fpow(ll a,ll b){
    return b==0?1:(b&1?a*fpow(a*a%P,b/2)%P:fpow(a*a%P,b/2));
}
ll fact[FN],inv_fact[FN];
void init_fact(int n){
    fact[0] = inv_fact[0] = 1;
    for (int i = 1; i <= n; i++)
        fact[i] = 1ll*fact[i - 1] * i % P;
    inv_fact[n] = fpow(fact[n], P - 2);
    for (int i = n - 1; i >= 1; i--)
        inv_fact[i] = 1ll*inv_fact[i + 1] * (i + 1) % P;
}
ll binom(ll n,ll k){
    if(n<k)return 0;
    return 1ll*fact[n]*inv_fact[k]%P*inv_fact[n-k]%P;
}


int f[N][N],g[N][N],h[N][N],a[N][N],b[N][N];

//
int T(int a,int b){
    return binom(n+a*b-1,a*b-1);
}
void mod(int& x){
    if(x>=P)x-=P;
    if(x<0)x+=P;
}
signed main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cin>>n>>P;
    init_fact(n*n+n);
    for(int i=1;i<=n;i++)
        for(int j=1;j<=n;j++)
            for(int k=0;k<=n;k++)
                mod(f[i][j]+=T(i-k,j)*((k&1)?-1:1)*binom(i,k)%P);
    for(int i=1;i<=n;i++)
        for(int j=1;j<=n;j++)
            for(int k=0;k<=n;k++)
                mod(g[i][j]+=f[i][j-k]*((k&1)?-1:1)*binom(j,k)%P);
    for(int i=1;i<=n;i++)
        for(int j=1;j<=n;j++)
            h[n-i][n-j]=g[i][j];
    for(int i=0;i<n;i++)
        for(int j=0;j<n;j++)
            for(int k=0;k<n;k++)
                mod(a[i][j]+=h[i][k]*binom(k,j)%P*(((j-k)%2)?-1:1));
    for(int i=0;i<n;i++)
        for(int j=0;j<n;j++)
            for(int k=0;k<n;k++)
                mod(b[i][j]+=a[k][j]*binom(k,i)%P*(((i-k)%2)?-1:1));
    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++)
            cout<<b[i][j]<<" ";
        cout<<endl;
    }

    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: 7788kb

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: 7868kb

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: 9940kb

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: 0ms
memory: 7900kb

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: 1ms
memory: 7932kb

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: 3ms
memory: 7976kb

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: 3ms
memory: 8048kb

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: 8064kb

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: 0ms
memory: 8056kb

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: 4ms
memory: 8008kb

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: 33ms
memory: 10300kb

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: 35ms
memory: 8452kb

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: 36ms
memory: 8528kb

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: 37ms
memory: 8400kb

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: 38ms
memory: 8548kb

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: 0
Time Limit Exceeded

Test #16:

score: 0
Time Limit Exceeded

input:

496 1005266363

output:


result: