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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#245960 | #7759. Permutation Counting 2 | grass8cow | 100 ✓ | 2206ms | 16592kb | C++14 | 1.5kb | 2023-11-10 14:50:10 | 2023-11-10 14:50:10 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N=1e6;
int n,mod,jc[1000010],ij[1000010];
int qpow(int a,int b){
int c=1;
for(;b;b>>=1){
if(b&1)c=1ll*a*c%mod;
a=1ll*a*a%mod;
}
return c;
}
int f[510][510],g[510][510],dp[510][510],h[510][510],fz[510][510];
int C[510][510];
int E(int a,int b){return 1ll*jc[a]*ij[b]%mod*ij[a-b]%mod;}
//int P(int a,int b){return C(a+b-1,b-1);}
int main(){
scanf("%d%d",&n,&mod);
jc[0]=1;
C[0][0]=1;
for(int i=1;i<=n;i++){
C[i][0]=1;
for(int j=1;j<=i;j++)C[i][j]=(C[i-1][j-1]+C[i-1][j])%mod;
}
for(int i=1;i<=N;i++)jc[i]=1ll*i*jc[i-1]%mod;ij[N]=qpow(jc[N],mod-2);
for(int i=N;i;i--)ij[i-1]=1ll*ij[i]*i%mod;
for(int d=1;d<=n;d++){
for(int i=1;i<=n;i++)for(int j=0;j<i;j++)
(f[i][d]+=((j&1)?-1ll:1ll)*C[i][j]*E(n+(i-j)*d-1,(i-j)*d-1)%mod)%=mod;
}
for(int a=1;a<=n;a++)for(int b=1;b<=n;b++)for(int c=0;c<b;c++)
(g[n-a][n-b]+=((c&1)?-1ll:1ll)*f[a][b-c]*C[b][c]%mod)%=mod;
for(int a=0;a<n;a++)for(int b=a;b<n;b++)for(int d=0;d<n;d++)
(fz[a][d]+=(((b-a)&1)?-1ll:1ll)*g[b][d]*C[b][a]%mod)%=mod;
for(int a=0;a<n;a++)for(int c=0;c<n;c++)for(int d=c;d<n;d++)
(h[a][c]+=(((d-c)&1)?-1ll:1ll)*fz[a][d]*C[d][c]%mod)%=mod;
/*for(int a=0;a<n;a++)for(int b=a;b<n;b++)for(int c=0;c<n;c++)for(int d=c;d<n;d++)
(h[a][c]+=(((b-a+d-c)&1)?-1ll:1ll)*g[b][d]*C(b,a)%mod*C(d,c)%mod)%=mod;*/
for(int a=0;a<n;a++)for(int c=0;c<n;c++)printf("%d%c",(h[a][c]+mod)%mod,(c==n-1)?'\n':' ');
return 0;
}
詳細信息
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 16ms
memory: 12764kb
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: 12ms
memory: 12760kb
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: 12ms
memory: 11728kb
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: 12ms
memory: 13400kb
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: 15ms
memory: 12056kb
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: 17ms
memory: 13600kb
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: 17ms
memory: 12140kb
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: 16ms
memory: 12760kb
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: 17ms
memory: 12492kb
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: 13ms
memory: 12436kb
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: 32ms
memory: 12632kb
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: 32ms
memory: 13200kb
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: 33ms
memory: 15896kb
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: 33ms
memory: 13220kb
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: 26ms
memory: 13064kb
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: 2150ms
memory: 16420kb
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: 2167ms
memory: 16532kb
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: 2187ms
memory: 16592kb
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: 2195ms
memory: 16540kb
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: 2206ms
memory: 16456kb
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