QOJ.ac

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
#787020#9782. NonZero PrefSuf Sumsucup-team1004AC ✓186ms13560kbC++141.5kb2024-11-27 08:44:392024-11-27 08:44:39

Judging History

你现在查看的是最新测评结果

  • [2024-11-27 08:44:39]
  • 评测
  • 测评结果:AC
  • 用时:186ms
  • 内存:13560kb
  • [2024-11-27 08:44:39]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#ifdef DEBUG
#include"debug.h"
#else
#define debug(...) void()
#endif
#define all(x) (x).begin(),(x).end()
template<class T>
auto ary(T *a,int l,int r){
	return vector<T>{a+l,a+1+r};
}
using ll=long long;
using ull=unsigned long long;
const int N=105,M=1e4+10;
int n,m,mod,C[N][N],f[N][M],g[N][M],h[N][N][N];
int main(){
	cin>>n>>m>>mod;
	for(int i=0;i<=n;i++){
		for(int j=C[i][0]=1;j<=i;j++){
			C[i][j]=(C[i-1][j-1]+C[i-1][j])%mod;
		}
	}
	h[0][0][0]=1;
	for(int i=0;i<n||i<=m;i++){
		for(int j=0;j<=n;j++){
			for(int k=0;k<=i*j&&k<=n;k++){
				for(int t=0;t<=j&&t*i<=k;t++){
					h[i+1][j][k]=(h[i+1][j][k]+1ll*C[j][t]*h[i][j-t][k-t*i])%mod;
				}
			}
		}
	}
	f[0][0]=1;
	for(int i=1;i<=n;i++){
		for(int j=0;j<=m;j++){
			for(int k=j;k<=i*m;k++){
				(f[i][k]+=f[i-1][k-j])%=mod;
			}
		}
	}
	g[0][0]=1;
	for(int i=1;i<=n;i++){
		for(int j=1;j<=m;j++){
			for(int k=j;k<=i*m;k++){
				(g[i][k]+=g[i-1][k-j])%=mod;
			}
		}
	}
	int ans=m*n;
	for(int k=1;k<=m;k++){
		for(int i=1;i<n;i++){
			for(int j=1;j<i;j++){
				ans=(ans+1ll*C[n][i]*h[m/k+1][n-i][j])%mod;
				ans=(ans+1ll*(mod-C[n][i])*h[min(m/k+1,i-j-1)][n-i][j])%mod;
			}
		}
	}
	ans=ans*2%mod;
	for(int i=0;i<=n;i++){
		for(int j=0;j<=min(i,n-i)*m;j++){
			ans=(ans+1ll*g[i][j]*f[n-i][j]%mod*C[n][i])%mod;
		}
	}
	int res=1;
	for(int i=1;i<=n;i++)res=res*(m+m+1ll)%mod;
	ans=(res+mod-ans)%mod;
	cout<<ans<<endl;
	return 0;
}
#ifdef DEBUG
#include"debug.hpp"
#endif

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 7744kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 21ms
memory: 10596kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #3:

score: 0
Accepted
time: 1ms
memory: 7788kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 18ms
memory: 10824kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #5:

score: 0
Accepted
time: 43ms
memory: 10792kb

input:

61 75 677323601

output:

34613998

result:

ok single line: '34613998'

Test #6:

score: 0
Accepted
time: 0ms
memory: 7956kb

input:

13 14 670577333

output:

41465431

result:

ok single line: '41465431'

Test #7:

score: 0
Accepted
time: 1ms
memory: 7920kb

input:

14 6 987686347

output:

37536510

result:

ok single line: '37536510'

Test #8:

score: 0
Accepted
time: 1ms
memory: 7880kb

input:

15 12 196428923

output:

29322522

result:

ok single line: '29322522'

Test #9:

score: 0
Accepted
time: 6ms
memory: 10312kb

input:

68 7 786815587

output:

149281835

result:

ok single line: '149281835'

Test #10:

score: 0
Accepted
time: 1ms
memory: 7736kb

input:

3 2 503002109

output:

82

result:

ok single line: '82'

Test #11:

score: 0
Accepted
time: 1ms
memory: 7840kb

input:

13 5 756093197

output:

415698676

result:

ok single line: '415698676'

Test #12:

score: 0
Accepted
time: 1ms
memory: 7740kb

input:

2 3 646574611

output:

30

result:

ok single line: '30'

Test #13:

score: 0
Accepted
time: 11ms
memory: 7796kb

input:

39 68 120037189

output:

43217507

result:

ok single line: '43217507'

Test #14:

score: 0
Accepted
time: 1ms
memory: 7844kb

input:

13 4 423132517

output:

360231790

result:

ok single line: '360231790'

Test #15:

score: 0
Accepted
time: 1ms
memory: 7920kb

input:

14 3 309713387

output:

94215386

result:

ok single line: '94215386'

Test #16:

score: 0
Accepted
time: 8ms
memory: 8900kb

input:

24 77 886983941

output:

211636479

result:

ok single line: '211636479'

Test #17:

score: 0
Accepted
time: 1ms
memory: 7664kb

input:

3 3 504388063

output:

270

result:

ok single line: '270'

Test #18:

score: 0
Accepted
time: 1ms
memory: 7732kb

input:

3 1 936205423

output:

8

result:

ok single line: '8'

Test #19:

score: 0
Accepted
time: 1ms
memory: 7672kb

input:

3 3 295983139

output:

270

result:

ok single line: '270'

Test #20:

score: 0
Accepted
time: 1ms
memory: 7804kb

input:

10 15 446169107

output:

149884328

result:

ok single line: '149884328'

Test #21:

score: 0
Accepted
time: 3ms
memory: 8692kb

input:

37 18 833753929

output:

592917251

result:

ok single line: '592917251'

Test #22:

score: 0
Accepted
time: 0ms
memory: 7896kb

input:

11 3 998773403

output:

860630017

result:

ok single line: '860630017'

Test #23:

score: 0
Accepted
time: 4ms
memory: 6612kb

input:

14 85 688036639

output:

347188409

result:

ok single line: '347188409'

Test #24:

score: 0
Accepted
time: 1ms
memory: 7752kb

input:

3 3 844621907

output:

270

result:

ok single line: '270'

Test #25:

score: 0
Accepted
time: 1ms
memory: 7624kb

input:

3 4 204335891

output:

620

result:

ok single line: '620'

Test #26:

score: 0
Accepted
time: 0ms
memory: 7784kb

input:

7 8 113007667

output:

58946097

result:

ok single line: '58946097'

Test #27:

score: 0
Accepted
time: 0ms
memory: 7740kb

input:

4 1 637268377

output:

22

result:

ok single line: '22'

Test #28:

score: 0
Accepted
time: 0ms
memory: 7860kb

input:

11 14 391637237

output:

303270280

result:

ok single line: '303270280'

Test #29:

score: 0
Accepted
time: 0ms
memory: 7664kb

input:

3 2 208286231

output:

82

result:

ok single line: '82'

Test #30:

score: 0
Accepted
time: 1ms
memory: 7788kb

input:

2 11 662696483

output:

462

result:

ok single line: '462'

Test #31:

score: 0
Accepted
time: 0ms
memory: 8400kb

input:

19 55 974135299

output:

887460557

result:

ok single line: '887460557'

Test #32:

score: 0
Accepted
time: 1ms
memory: 7840kb

input:

6 8 417027509

output:

23351024

result:

ok single line: '23351024'

Test #33:

score: 0
Accepted
time: 1ms
memory: 7880kb

input:

8 13 624006587

output:

353008442

result:

ok single line: '353008442'

Test #34:

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

input:

10 10 740294671

output:

79436611

result:

ok single line: '79436611'

Test #35:

score: 0
Accepted
time: 0ms
memory: 7832kb

input:

11 10 394088657

output:

161476458

result:

ok single line: '161476458'

Test #36:

score: 0
Accepted
time: 0ms
memory: 7868kb

input:

9 27 562853573

output:

135252259

result:

ok single line: '135252259'

Test #37:

score: 0
Accepted
time: 0ms
memory: 7848kb

input:

8 3 829129009

output:

5349034

result:

ok single line: '5349034'

Test #38:

score: 0
Accepted
time: 11ms
memory: 9800kb

input:

51 49 924010279

output:

815049368

result:

ok single line: '815049368'

Test #39:

score: 0
Accepted
time: 1ms
memory: 7708kb

input:

12 2 308466749

output:

223013998

result:

ok single line: '223013998'

Test #40:

score: 0
Accepted
time: 1ms
memory: 7900kb

input:

7 4 567557693

output:

4502296

result:

ok single line: '4502296'

Test #41:

score: 0
Accepted
time: 19ms
memory: 8080kb

input:

36 93 943780729

output:

13599465

result:

ok single line: '13599465'

Test #42:

score: 0
Accepted
time: 1ms
memory: 7732kb

input:

2 1 828681127

output:

2

result:

ok single line: '2'

Test #43:

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

input:

3 3 534160729

output:

270

result:

ok single line: '270'

Test #44:

score: 0
Accepted
time: 1ms
memory: 7744kb

input:

7 12 920925433

output:

453086694

result:

ok single line: '453086694'

Test #45:

score: 0
Accepted
time: 1ms
memory: 7620kb

input:

3 2 440546987

output:

82

result:

ok single line: '82'

Test #46:

score: 0
Accepted
time: 7ms
memory: 10204kb

input:

90 9 291269963

output:

72560304

result:

ok single line: '72560304'

Test #47:

score: 0
Accepted
time: 2ms
memory: 8568kb

input:

38 10 867575113

output:

165530481

result:

ok single line: '165530481'

Test #48:

score: 0
Accepted
time: 9ms
memory: 9432kb

input:

48 37 152663531

output:

135425620

result:

ok single line: '135425620'

Test #49:

score: 0
Accepted
time: 1ms
memory: 7892kb

input:

15 15 991731803

output:

102703562

result:

ok single line: '102703562'

Test #50:

score: 0
Accepted
time: 186ms
memory: 13560kb

input:

100 100 696969697

output:

313377809

result:

ok single line: '313377809'

Extra Test:

score: 0
Extra Test Passed