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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#282639#7774. 基础寄术练习题yyyyxh100 ✓214ms5420kbC++231.1kb2023-12-12 16:50:312023-12-12 16:50:31

Judging History

你现在查看的是最新测评结果

  • [2023-12-12 16:50:31]
  • 评测
  • 测评结果:100
  • 用时:214ms
  • 内存:5420kb
  • [2023-12-12 16:50:31]
  • 提交

answer

#include <cstdio>
using namespace std;
typedef long long ll;
int read(){
	char c=getchar();int x=0;
	while(c<48||c>57) c=getchar();
	do x=(x<<1)+(x<<3)+(c^48),c=getchar();
	while(c>=48&&c<=57);
	return x;
}
int n,m,k,p;
const int N=103;
int inv[N*N];
int fs[N],sm;
int f[N][N*N][2];
int main(){
	n=read();m=read();k=read();p=read();
	inv[1]=1;
	if(k==1){
		for(int i=2;i<=m;++i) inv[i]=(ll)inv[p%i]*(p-p/i)%p;
		fs[0]=1;
		for(int i=1;i<=m;++i)
			for(int j=i;j;--j) fs[j]=(fs[j]+(ll)fs[j-1]*inv[i])%p;
		printf("%d\n",fs[n]);
		return 0;
	}
	for(int i=2;i<=m*m;++i) inv[i]=(ll)inv[p%i]*(p-p/i)%p;
	int sm=0;
	f[0][0][0]=1;
	for(int i=1;i<=m;++i){
		sm+=i;
		for(int j=n;j;--j)
			for(int x=0;x<=sm;++x)
				for(int t=0;t<2;++t){
					int &dp=f[j][x][t];
					dp=(dp+(ll)inv[i]*f[j-1][x][t])%p;
					if(x>=i){
						dp=(dp-(ll)inv[i]*f[j-1][x-i][t])%p;
						if(dp<0) dp+=p;
						if(t) dp=(dp+(ll)i*f[j-1][x-i][0])%p;
					}
				}
	}
	int res=0;
	for(int i=0;i<=sm;++i)
		res=(res+(ll)f[n][i][1]*inv[i])%p;
	printf("%d\n",res);
	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: 1476kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 0ms
memory: 1480kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

score: 0
Accepted
time: 0ms
memory: 1512kb

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 0ms
memory: 1548kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 0ms
memory: 1568kb

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: 1508kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

score: 0
Accepted
time: 0ms
memory: 1596kb

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 0ms
memory: 1528kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 0ms
memory: 1500kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 0ms
memory: 1512kb

input:

81 91 1 460412027

output:

148037986

result:

ok single line: '148037986'

Subtask #3:

score: 15
Accepted

Test #11:

score: 15
Accepted
time: 0ms
memory: 1820kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 0ms
memory: 1700kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 2ms
memory: 1744kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 2ms
memory: 1764kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

score: 0
Accepted
time: 0ms
memory: 1496kb

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: 1744kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 2ms
memory: 1728kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 0ms
memory: 1680kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 1ms
memory: 1640kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

score: 0
Accepted
time: 0ms
memory: 1516kb

input:

24 29 1 374090597

output:

312615700

result:

ok single line: '312615700'

Subtask #5:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 4ms
memory: 1812kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 7ms
memory: 1904kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 4ms
memory: 1828kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

score: 0
Accepted
time: 5ms
memory: 1800kb

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

score: 0
Accepted
time: 0ms
memory: 1500kb

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: 2752kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 43ms
memory: 4760kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 38ms
memory: 2792kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 58ms
memory: 3056kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

score: 0
Accepted
time: 0ms
memory: 1528kb

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 214ms
memory: 5420kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 185ms
memory: 4976kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 179ms
memory: 5004kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 174ms
memory: 4944kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

score: 0
Accepted
time: 0ms
memory: 1480kb

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'