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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#279127#7774. 基础寄术练习题lzytag100 ✓286ms39996kbC++141.8kb2023-12-08 11:36:452023-12-08 11:36:46

Judging History

你现在查看的是最新测评结果

  • [2023-12-08 11:36:46]
  • 评测
  • 测评结果:100
  • 用时:286ms
  • 内存:39996kb
  • [2023-12-08 11:36:45]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 105;
int n,m,k,mod,lst,now;
ll f[2][N],inv[N*N];
ll g[2][N][N*N][2];
void solve1()
{
    lst = 1;
    f[now][0] = 1;
    for(int i = 1;i <= m;i++)
    {
        swap(now,lst);
        memset(f[now],0,sizeof(f[now]));
        for(int j = 0;j <= n;j++)
        {
            if(!f[lst][j]) continue;
            f[now][j] = (f[now][j] + f[lst][j])%mod;
            if(j < n) f[now][j+1] = (f[now][j+1] + f[lst][j]*inv[i])%mod;
        }
    }
    cout<<f[now][n]<<"\n";
}
void solve2()
{
    lst = 1;
    g[now][0][0][0] = 1;
    for(int i = 1;i <= m;i++)
    {
        swap(now,lst);
        memset(g[now],0,sizeof(g[now]));
        for(int j = 0;j <= n;j++)
        {
            for(int k = 0;k <= n*m;k++)
            {
                for(int l = 0;l < 2;l++)
                {
                    if(!g[lst][j][k][l]) continue;
                    g[now][j][k][l] = (g[now][j][k][l] + g[lst][j][k][l])%mod;
                    //选做a1
                    if(l == 0 && j < n) g[now][j+1][k+i][1] = (g[now][j+1][k+i][0] + g[lst][j][k][0]*i)%mod;
                    //被容斥
                    if(j < n) g[now][j+1][k+i][l] = (g[now][j+1][k+i][l] + g[lst][j][k][l]*(mod-inv[i]))%mod;
                    //不被容斥
                    if(j < n) g[now][j+1][k][l] = (g[now][j+1][k][l] + g[lst][j][k][l]*inv[i])%mod;
                }
            }
        }
    }
    ll res = 0;
    for(int k = 0;k <= n*m;k++) res = (res + g[now][n][k][1] * inv[k])%mod;
    cout<<res<<"\n";
}
int main()
{
    ios::sync_with_stdio(false);cin.tie(0);
    cin>>n>>m>>k>>mod;
    inv[1] = 1;
    for(int i = 2;i <= n*m;i++) inv[i] = mod - mod/i*inv[mod%i]%mod;
    if(k == 1) solve1();
    if(k == 2) solve2();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 0ms
memory: 3704kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 9ms
memory: 39860kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 12ms
memory: 39912kb

input:

11 17 2 617904383

output:

393900291

result:

ok single line: '393900291'

Subtask #2:

score: 25
Accepted

Test #6:

score: 25
Accepted
time: 0ms
memory: 3660kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

81 91 1 460412027

output:

148037986

result:

ok single line: '148037986'

Subtask #3:

score: 15
Accepted

Test #11:

score: 15
Accepted
time: 20ms
memory: 39872kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 19ms
memory: 39864kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 21ms
memory: 39880kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 27ms
memory: 39808kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

30 30 1 202836509

output:

158493990

result:

ok single line: '158493990'

Subtask #4:

score: 10
Accepted

Test #16:

score: 10
Accepted
time: 21ms
memory: 39932kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 20ms
memory: 39924kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 20ms
memory: 39876kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 25ms
memory: 39796kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

24 29 1 374090597

output:

312615700

result:

ok single line: '312615700'

Subtask #5:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 27ms
memory: 39880kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 33ms
memory: 39812kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 28ms
memory: 39880kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

score: 0
Accepted
time: 32ms
memory: 39800kb

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

34 38 1 499914887

output:

386116226

result:

ok single line: '386116226'

Subtask #6:

score: 10
Accepted

Test #26:

score: 10
Accepted
time: 85ms
memory: 39884kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 90ms
memory: 39876kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 82ms
memory: 39880kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 103ms
memory: 39892kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 286ms
memory: 39996kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 261ms
memory: 39868kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 253ms
memory: 39860kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 249ms
memory: 39852kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'