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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#782328#9782. NonZero PrefSuf Sumsgrass8cowAC ✓22ms8740kbC++171.5kb2024-11-25 19:46:092024-11-25 19:46:10

Judging History

你现在查看的是最新测评结果

  • [2024-11-25 19:46:10]
  • 评测
  • 测评结果:AC
  • 用时:22ms
  • 内存:8740kb
  • [2024-11-25 19:46:09]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
int mod,c[110][110],g[110][110][110];
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;
}
void ad(int &x,int y){
	x+=y;if(x>=mod)x-=mod;
}
int F(int n,int m){
	int ans=0;
	for(int i=1;i<n;i++){
		for(int s=1;s<i;s++){
			if(i-s-1<=m)
			ad(ans,1ll*c[n][i]*g[n-i][s][i-s-1]%mod),
			ad(ans,mod-1ll*c[n][i]*g[n-i][s][m+1]%mod);
		}
		//sum<i,mx>=i-sum-1
	}
	return ans;
}
int n,m,f[20100],h[20100];
int main(){
	scanf("%d%d%d",&n,&m,&mod);
	f[n*m]=1;
	for(int i=1;i<=n;i++){
		memset(h,0,sizeof(h));
		for(int j=1;j<=n*m*2;j++)(f[j]+=f[j-1])%=mod;
		for(int j=0;j<=n*m*2;j++){
			h[j]=f[min(j+m,n*m*2)];
			if(j-m>0)ad(h[j],mod-f[j-m-1]);
		}
		for(int j=0;j<=n*m*2;j++)f[j]=h[j];
	}
	g[0][0][0]=1;
	for(int i=0;i<n;i++)
		for(int j=0;j<=n;j++)
		for(int k=0;k<=n;k++)if(g[i][j][k])
			for(int l=1;j+l<=n;l++)
			ad(g[i+1][j+l][max(k,l)],g[i][j][k]);
	for(int i=0;i<n;i++)
		for(int j=0;j<=n;j++)
		for(int k=n-1;k>=0;k--)
		ad(g[i][j][k],g[i][j][k+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;
	}
	int ans=f[n*m];
	for(int i=0;i<=n;i++){
		if(i&&n-i<2){if(n-i==1)(ans+=1ll*m*n*2%mod)%=mod;}
		else{for(int l=1,r;l<=m;l=r+1)r=m/(m/l),(ans+=2ll*F(n-i,m/l)*c[n][i]%mod*(r-l+1)%mod)%=mod;}
	}
	ans=(qpow(m*2+1,n)+mod-ans)%mod;
	printf("%d",ans);
	return 0;
}
//枚举k,然后做长度为n,m除掉k
//sum>0 正数=1 最小的负数<=-(sum-1)

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 4008kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 8ms
memory: 6372kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 8ms
memory: 6332kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #5:

score: 0
Accepted
time: 4ms
memory: 5812kb

input:

61 75 677323601

output:

34613998

result:

ok single line: '34613998'

Test #6:

score: 0
Accepted
time: 0ms
memory: 4132kb

input:

13 14 670577333

output:

41465431

result:

ok single line: '41465431'

Test #7:

score: 0
Accepted
time: 0ms
memory: 4132kb

input:

14 6 987686347

output:

37536510

result:

ok single line: '37536510'

Test #8:

score: 0
Accepted
time: 1ms
memory: 4200kb

input:

15 12 196428923

output:

29322522

result:

ok single line: '29322522'

Test #9:

score: 0
Accepted
time: 0ms
memory: 6340kb

input:

68 7 786815587

output:

149281835

result:

ok single line: '149281835'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

3 2 503002109

output:

82

result:

ok single line: '82'

Test #11:

score: 0
Accepted
time: 0ms
memory: 4104kb

input:

13 5 756093197

output:

415698676

result:

ok single line: '415698676'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

2 3 646574611

output:

30

result:

ok single line: '30'

Test #13:

score: 0
Accepted
time: 3ms
memory: 5972kb

input:

39 68 120037189

output:

43217507

result:

ok single line: '43217507'

Test #14:

score: 0
Accepted
time: 0ms
memory: 4108kb

input:

13 4 423132517

output:

360231790

result:

ok single line: '360231790'

Test #15:

score: 0
Accepted
time: 0ms
memory: 4060kb

input:

14 3 309713387

output:

94215386

result:

ok single line: '94215386'

Test #16:

score: 0
Accepted
time: 1ms
memory: 4368kb

input:

24 77 886983941

output:

211636479

result:

ok single line: '211636479'

Test #17:

score: 0
Accepted
time: 0ms
memory: 4016kb

input:

3 3 504388063

output:

270

result:

ok single line: '270'

Test #18:

score: 0
Accepted
time: 0ms
memory: 4012kb

input:

3 1 936205423

output:

8

result:

ok single line: '8'

Test #19:

score: 0
Accepted
time: 0ms
memory: 4016kb

input:

3 3 295983139

output:

270

result:

ok single line: '270'

Test #20:

score: 0
Accepted
time: 0ms
memory: 4080kb

input:

10 15 446169107

output:

149884328

result:

ok single line: '149884328'

Test #21:

score: 0
Accepted
time: 0ms
memory: 4680kb

input:

37 18 833753929

output:

592917251

result:

ok single line: '592917251'

Test #22:

score: 0
Accepted
time: 1ms
memory: 4092kb

input:

11 3 998773403

output:

860630017

result:

ok single line: '860630017'

Test #23:

score: 0
Accepted
time: 1ms
memory: 4064kb

input:

14 85 688036639

output:

347188409

result:

ok single line: '347188409'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

3 3 844621907

output:

270

result:

ok single line: '270'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3928kb

input:

3 4 204335891

output:

620

result:

ok single line: '620'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

7 8 113007667

output:

58946097

result:

ok single line: '58946097'

Test #27:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

4 1 637268377

output:

22

result:

ok single line: '22'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3960kb

input:

11 14 391637237

output:

303270280

result:

ok single line: '303270280'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3988kb

input:

3 2 208286231

output:

82

result:

ok single line: '82'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

2 11 662696483

output:

462

result:

ok single line: '462'

Test #31:

score: 0
Accepted
time: 1ms
memory: 4172kb

input:

19 55 974135299

output:

887460557

result:

ok single line: '887460557'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3976kb

input:

6 8 417027509

output:

23351024

result:

ok single line: '23351024'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3996kb

input:

8 13 624006587

output:

353008442

result:

ok single line: '353008442'

Test #34:

score: 0
Accepted
time: 0ms
memory: 4076kb

input:

10 10 740294671

output:

79436611

result:

ok single line: '79436611'

Test #35:

score: 0
Accepted
time: 1ms
memory: 6056kb

input:

11 10 394088657

output:

161476458

result:

ok single line: '161476458'

Test #36:

score: 0
Accepted
time: 0ms
memory: 4020kb

input:

9 27 562853573

output:

135252259

result:

ok single line: '135252259'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

8 3 829129009

output:

5349034

result:

ok single line: '5349034'

Test #38:

score: 0
Accepted
time: 2ms
memory: 5284kb

input:

51 49 924010279

output:

815049368

result:

ok single line: '815049368'

Test #39:

score: 0
Accepted
time: 0ms
memory: 4112kb

input:

12 2 308466749

output:

223013998

result:

ok single line: '223013998'

Test #40:

score: 0
Accepted
time: 0ms
memory: 4036kb

input:

7 4 567557693

output:

4502296

result:

ok single line: '4502296'

Test #41:

score: 0
Accepted
time: 3ms
memory: 4784kb

input:

36 93 943780729

output:

13599465

result:

ok single line: '13599465'

Test #42:

score: 0
Accepted
time: 1ms
memory: 5916kb

input:

2 1 828681127

output:

2

result:

ok single line: '2'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

3 3 534160729

output:

270

result:

ok single line: '270'

Test #44:

score: 0
Accepted
time: 0ms
memory: 4028kb

input:

7 12 920925433

output:

453086694

result:

ok single line: '453086694'

Test #45:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

3 2 440546987

output:

82

result:

ok single line: '82'

Test #46:

score: 0
Accepted
time: 10ms
memory: 7852kb

input:

90 9 291269963

output:

72560304

result:

ok single line: '72560304'

Test #47:

score: 0
Accepted
time: 1ms
memory: 4840kb

input:

38 10 867575113

output:

165530481

result:

ok single line: '165530481'

Test #48:

score: 0
Accepted
time: 3ms
memory: 5232kb

input:

48 37 152663531

output:

135425620

result:

ok single line: '135425620'

Test #49:

score: 0
Accepted
time: 1ms
memory: 4020kb

input:

15 15 991731803

output:

102703562

result:

ok single line: '102703562'

Test #50:

score: 0
Accepted
time: 22ms
memory: 8740kb

input:

100 100 696969697

output:

313377809

result:

ok single line: '313377809'

Extra Test:

score: 0
Extra Test Passed