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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#776458#9782. NonZero PrefSuf Sumsucup-team191#AC ✓194ms14932kbC++231.7kb2024-11-23 18:47:442024-11-23 18:47:45

Judging History

你现在查看的是最新测评结果

  • [2024-11-23 18:47:45]
  • 评测
  • 测评结果:AC
  • 用时:194ms
  • 内存:14932kb
  • [2024-11-23 18:47:44]
  • 提交

answer

#include <bits/stdc++.h>
#define X first
#define Y second
#define PB push_back
#define x first
#define y second
#define pb push_back
using namespace std;
using ll=long long;
using vi=vector<int>;
using vl=vector<ll>;
using pii=pair<int,int>;
#define all(a) begin(a),end(a)

const int N=110;
const char en='\n';
const ll LLINF=1ll<<60;

int p;

int add(int a,int b)
{
	if (a+b>=p) return a+b-p;
	return a+b;
}

void ad(int&a,int b)
{
	a+=b;
	if (a>=p) a-=p;
}

int sub(int a,int b)
{
	if (a<b) return a-b+p;
	return a-b;
}

int mul(int a,int b)
{
	return a*1ll*b%p;
}

int n,m,dp1[N][2*N*N],dp2[N][N][N],cho[N][N],psc[N][N];

int solve()
{
	for (int i=0;i<=n;++i) for (int j=0;j<=n;++j) for (int k=0;k<=m;++k) dp2[i][j][k]=0;
	dp2[0][0][0]=1;
	int c=0;
	for (int i=0;i<n;++i) for (int j=0;j<n-i;++j) for (int k=0;k<=m;++k) if (dp2[i][j][k])
	{
		if (i)
		{
			int st=mul(cho[n][i],sub(psc[n-i][min(j+k+1,n-i)],psc[n-i][j]));
			ad(c,mul(dp2[i][j][k],st));
		}
		for (int ne=1;ne<=m && j+ne<n-(i+1);++ne)
		{
			ad(dp2[i+1][j+ne][max(k,ne)],dp2[i][j][k]);
		}
	}
	return c;
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(0);
	cin>>n>>m>>p;
	for (int i=0;i<=n;++i)
	{
		cho[i][0]=1;
		psc[i][0]=1;
		for (int j=1;j<=i;++j)
		{
			cho[i][j]=add(cho[i-1][j],cho[i-1][j-1]);
			psc[i][j]=add(psc[i][j-1],cho[i][j]);
		}
	}
	int an=2*n*m;
	dp1[0][N*N]=1;
	for (int i=0;i<n;++i) for (int j=N*N-m*i;j<=N*N+m*i;++j) for (int k=-m;k<=m;++k) ad(dp1[i+1][j+k],dp1[i][j]);
	ad(an,dp1[n][N*N]);
	//cout<<an<<en;
	for (int x=1;x<=m;++x)
	{
		int m1=m;
		m/=x;
		int cs=solve();
		ad(an,mul(cs,2));
		m=m1;
	}
	int sv=1;
	for (int i=0;i<n;++i) sv=mul(sv,2*m+1);
	cout<<sub(sv,an)<<en;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5648kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 19ms
memory: 10144kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #3:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 15ms
memory: 10136kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #5:

score: 0
Accepted
time: 34ms
memory: 10188kb

input:

61 75 677323601

output:

34613998

result:

ok single line: '34613998'

Test #6:

score: 0
Accepted
time: 0ms
memory: 5816kb

input:

13 14 670577333

output:

41465431

result:

ok single line: '41465431'

Test #7:

score: 0
Accepted
time: 0ms
memory: 5844kb

input:

14 6 987686347

output:

37536510

result:

ok single line: '37536510'

Test #8:

score: 0
Accepted
time: 1ms
memory: 5856kb

input:

15 12 196428923

output:

29322522

result:

ok single line: '29322522'

Test #9:

score: 0
Accepted
time: 0ms
memory: 9444kb

input:

68 7 786815587

output:

149281835

result:

ok single line: '149281835'

Test #10:

score: 0
Accepted
time: 1ms
memory: 5696kb

input:

3 2 503002109

output:

82

result:

ok single line: '82'

Test #11:

score: 0
Accepted
time: 1ms
memory: 7768kb

input:

13 5 756093197

output:

415698676

result:

ok single line: '415698676'

Test #12:

score: 0
Accepted
time: 1ms
memory: 5760kb

input:

2 3 646574611

output:

30

result:

ok single line: '30'

Test #13:

score: 0
Accepted
time: 14ms
memory: 8564kb

input:

39 68 120037189

output:

43217507

result:

ok single line: '43217507'

Test #14:

score: 0
Accepted
time: 0ms
memory: 5936kb

input:

13 4 423132517

output:

360231790

result:

ok single line: '360231790'

Test #15:

score: 0
Accepted
time: 0ms
memory: 5864kb

input:

14 3 309713387

output:

94215386

result:

ok single line: '94215386'

Test #16:

score: 0
Accepted
time: 7ms
memory: 7976kb

input:

24 77 886983941

output:

211636479

result:

ok single line: '211636479'

Test #17:

score: 0
Accepted
time: 1ms
memory: 7800kb

input:

3 3 504388063

output:

270

result:

ok single line: '270'

Test #18:

score: 0
Accepted
time: 1ms
memory: 7816kb

input:

3 1 936205423

output:

8

result:

ok single line: '8'

Test #19:

score: 0
Accepted
time: 1ms
memory: 5704kb

input:

3 3 295983139

output:

270

result:

ok single line: '270'

Test #20:

score: 0
Accepted
time: 1ms
memory: 5816kb

input:

10 15 446169107

output:

149884328

result:

ok single line: '149884328'

Test #21:

score: 0
Accepted
time: 2ms
memory: 6756kb

input:

37 18 833753929

output:

592917251

result:

ok single line: '592917251'

Test #22:

score: 0
Accepted
time: 1ms
memory: 5848kb

input:

11 3 998773403

output:

860630017

result:

ok single line: '860630017'

Test #23:

score: 0
Accepted
time: 3ms
memory: 7748kb

input:

14 85 688036639

output:

347188409

result:

ok single line: '347188409'

Test #24:

score: 0
Accepted
time: 1ms
memory: 5696kb

input:

3 3 844621907

output:

270

result:

ok single line: '270'

Test #25:

score: 0
Accepted
time: 1ms
memory: 5620kb

input:

3 4 204335891

output:

620

result:

ok single line: '620'

Test #26:

score: 0
Accepted
time: 1ms
memory: 7792kb

input:

7 8 113007667

output:

58946097

result:

ok single line: '58946097'

Test #27:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

4 1 637268377

output:

22

result:

ok single line: '22'

Test #28:

score: 0
Accepted
time: 1ms
memory: 5832kb

input:

11 14 391637237

output:

303270280

result:

ok single line: '303270280'

Test #29:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

3 2 208286231

output:

82

result:

ok single line: '82'

Test #30:

score: 0
Accepted
time: 0ms
memory: 7752kb

input:

2 11 662696483

output:

462

result:

ok single line: '462'

Test #31:

score: 0
Accepted
time: 0ms
memory: 6080kb

input:

19 55 974135299

output:

887460557

result:

ok single line: '887460557'

Test #32:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

6 8 417027509

output:

23351024

result:

ok single line: '23351024'

Test #33:

score: 0
Accepted
time: 1ms
memory: 7856kb

input:

8 13 624006587

output:

353008442

result:

ok single line: '353008442'

Test #34:

score: 0
Accepted
time: 1ms
memory: 5796kb

input:

10 10 740294671

output:

79436611

result:

ok single line: '79436611'

Test #35:

score: 0
Accepted
time: 1ms
memory: 5864kb

input:

11 10 394088657

output:

161476458

result:

ok single line: '161476458'

Test #36:

score: 0
Accepted
time: 1ms
memory: 5720kb

input:

9 27 562853573

output:

135252259

result:

ok single line: '135252259'

Test #37:

score: 0
Accepted
time: 0ms
memory: 5740kb

input:

8 3 829129009

output:

5349034

result:

ok single line: '5349034'

Test #38:

score: 0
Accepted
time: 10ms
memory: 10556kb

input:

51 49 924010279

output:

815049368

result:

ok single line: '815049368'

Test #39:

score: 0
Accepted
time: 1ms
memory: 5784kb

input:

12 2 308466749

output:

223013998

result:

ok single line: '223013998'

Test #40:

score: 0
Accepted
time: 1ms
memory: 5764kb

input:

7 4 567557693

output:

4502296

result:

ok single line: '4502296'

Test #41:

score: 0
Accepted
time: 22ms
memory: 8428kb

input:

36 93 943780729

output:

13599465

result:

ok single line: '13599465'

Test #42:

score: 0
Accepted
time: 1ms
memory: 5696kb

input:

2 1 828681127

output:

2

result:

ok single line: '2'

Test #43:

score: 0
Accepted
time: 0ms
memory: 5624kb

input:

3 3 534160729

output:

270

result:

ok single line: '270'

Test #44:

score: 0
Accepted
time: 0ms
memory: 5664kb

input:

7 12 920925433

output:

453086694

result:

ok single line: '453086694'

Test #45:

score: 0
Accepted
time: 1ms
memory: 7712kb

input:

3 2 440546987

output:

82

result:

ok single line: '82'

Test #46:

score: 0
Accepted
time: 4ms
memory: 9844kb

input:

90 9 291269963

output:

72560304

result:

ok single line: '72560304'

Test #47:

score: 0
Accepted
time: 0ms
memory: 8208kb

input:

38 10 867575113

output:

165530481

result:

ok single line: '165530481'

Test #48:

score: 0
Accepted
time: 8ms
memory: 10268kb

input:

48 37 152663531

output:

135425620

result:

ok single line: '135425620'

Test #49:

score: 0
Accepted
time: 0ms
memory: 7872kb

input:

15 15 991731803

output:

102703562

result:

ok single line: '102703562'

Test #50:

score: 0
Accepted
time: 194ms
memory: 14932kb

input:

100 100 696969697

output:

313377809

result:

ok single line: '313377809'

Extra Test:

score: 0
Extra Test Passed