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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#422559 | #7759. Permutation Counting 2 | fireince | 75 | 38ms | 10300kb | C++14 | 1.9kb | 2024-05-27 16:11:33 | 2024-05-27 16:11:33 |
Judging History
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