QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#360834#7774. 基础寄术练习题NATURAL6100 ✓152ms13292kbC++141.4kb2024-03-22 11:16:342024-03-22 11:16:36

Judging History

你现在查看的是最新测评结果

  • [2024-03-22 11:16:36]
  • 评测
  • 测评结果:100
  • 用时:152ms
  • 内存:13292kb
  • [2024-03-22 11:16:34]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
inline int qread()
{
	int a=0,f=1;char ch=getchar();
	while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();}
	while(isdigit(ch)){(a*=10)+=(ch^48);ch=getchar();}
	return a*f;
}
int n,m,k,mod,inv[10010];
inline void fmod(int &x)
{
	if(x>=mod)x-=mod;
	return ;
}
namespace SOLVE1
{
	int f[110];
	void main()
	{
		f[0]=1;
		for(int i=1;i<=m;++i)for(int j=n;j;--j)f[j]=(1ll*f[j]+1ll*f[j-1]*inv[i])%mod;
		printf("%d\n",f[n]);
		return ;
	}
}
namespace SOLVE2
{
	int ans,sum,f[2][110][10010][2];
	void main()
	{
		f[1][0][0][0]=1;
		for(int i=1,np,tp;i<=m;sum+=i,++i)
		{
			np=i&1,tp=np^1;
			for(int j=i-1;~j;--j)
			{
				for(int k=sum;~k;--k)
				{
					for(int op=0;op<=1;++op)
					{
						fmod(f[tp][j][k][op]+=f[np][j][k][op]);
						f[tp][j+1][k][op]=(1ll*f[tp][j+1][k][op]+1ll*f[np][j][k][op]*inv[i])%mod;
						f[tp][j+1][k+i][op]=(1ll*f[tp][j+1][k+i][op]+1ll*f[np][j][k][op]*(mod-inv[i]))%mod;
						if(!op)f[tp][j+1][k+i][1]=(1ll*f[tp][j+1][k+i][1]+1ll*f[np][j][k][op]*i)%mod;
						f[np][j][k][op]=0;
					}
				}
			}
		}
		for(int i=1;i<=sum;++i)ans=(1ll*ans+1ll*f[(m&1)^1][n][i][1]*inv[i])%mod;
		printf("%d\n",ans);
		return ;
	}
}
int main()
{
	n=qread(),m=qread(),k=qread(),mod=qread();
	inv[0]=inv[1]=1;
	for(int i=2;i<=n*m;++i)inv[i]=1ll*inv[mod%i]*(mod-mod/i)%mod;
	if(k==1)
	{
		SOLVE1::main();
		return 0;
	}
	SOLVE2::main();
	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: 3788kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

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

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 0ms
memory: 5992kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 1ms
memory: 6036kb

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: 3876kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

81 91 1 460412027

output:

148037986

result:

ok single line: '148037986'

Subtask #3:

score: 15
Accepted

Test #11:

score: 15
Accepted
time: 2ms
memory: 6148kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 0ms
memory: 6256kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 2ms
memory: 6268kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 2ms
memory: 6260kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3984kb

input:

30 30 1 202836509

output:

158493990

result:

ok single line: '158493990'

Subtask #4:

score: 10
Accepted

Test #16:

score: 10
Accepted
time: 2ms
memory: 6104kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 0ms
memory: 6260kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 2ms
memory: 6228kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 2ms
memory: 6164kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

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

input:

24 29 1 374090597

output:

312615700

result:

ok single line: '312615700'

Subtask #5:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 5ms
memory: 6464kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 3ms
memory: 6476kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 4ms
memory: 6512kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

score: 0
Accepted
time: 4ms
memory: 6348kb

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

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

input:

34 38 1 499914887

output:

386116226

result:

ok single line: '386116226'

Subtask #6:

score: 10
Accepted

Test #26:

score: 10
Accepted
time: 34ms
memory: 10608kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 36ms
memory: 8896kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 33ms
memory: 8192kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 46ms
memory: 8696kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

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

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 152ms
memory: 13104kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 151ms
memory: 13292kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 142ms
memory: 12216kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 127ms
memory: 11976kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

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

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'