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#251385#7774. 基础寄术练习题C1942huangjiaxu100 ✓156ms11564kbC++14902b2023-11-14 17:24:182023-11-14 17:24:18

Judging History

你现在查看的是最新测评结果

  • [2023-11-14 17:24:18]
  • 评测
  • 测评结果:100
  • 用时:156ms
  • 内存:11564kb
  • [2023-11-14 17:24:18]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
int n,m,k,P,inv[10005],f[105],g[2][105][10005][2],s,ans;
inline void Add(int &x,int y){
	if((x+=y)>=P)x-=P;
}
void solve1(){
	f[0]=1;
	for(int i=1;i<=m;++i)
		for(int j=i-1;~j;--j)Add(f[j+1],1ll*inv[i]*f[j]%P);
	printf("%d\n",f[n]);
}
void solve2(){
	g[0][0][0][0]=1;
	for(int i=1,p=1,q=0;i<=m;s+=i,++i,p^=1,q^=1)
		for(int j=0;j<i;++j)for(int k=0;k<=s;++k)for(int o=0;o<2;++o){
			int w=g[q][j][k][o];
			g[q][j][k][o]=0;
			Add(g[p][j][k][o],w);
			Add(g[p][j+1][k][o],1ll*w*inv[i]%P);
			Add(g[p][j+1][k+i][o],1ll*(P-w)*inv[i]%P);
			if(!o)Add(g[p][j+1][k+i][1],1ll*w*i%P);
		}
	for(int i=0;i<=s;++i)Add(ans,1ll*g[m&1][n][i][1]*inv[i]%P);
	printf("%d\n",ans);
}
int main(){
	scanf("%d%d%d%d",&n,&m,&k,&P);
	inv[1]=1;
	for(int i=2;i<=10000;++i)inv[i]=1ll*(P-P/i)*inv[P%i]%P;
	if(k==1)solve1();
	else solve2();
	return 0;
}

詳細信息

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 1ms
memory: 3636kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 0ms
memory: 5800kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3780kb

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: 3612kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3836kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3600kb

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: 4080kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 2ms
memory: 4064kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 2ms
memory: 4052kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 0ms
memory: 4264kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

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

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: 4092kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 2ms
memory: 4032kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 2ms
memory: 4116kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 2ms
memory: 4020kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

24 29 1 374090597

output:

312615700

result:

ok single line: '312615700'

Subtask #5:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 0ms
memory: 4540kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 6ms
memory: 4428kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 4ms
memory: 4300kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

score: 0
Accepted
time: 4ms
memory: 4304kb

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

score: 0
Accepted
time: 1ms
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: 37ms
memory: 6400kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 45ms
memory: 6680kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 29ms
memory: 6176kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 43ms
memory: 6932kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 156ms
memory: 11564kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 156ms
memory: 11320kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 143ms
memory: 10888kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 128ms
memory: 10536kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'