QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#338112#7774. 基础寄术练习题Harry27182100 ✓114ms17420kbC++141.5kb2024-02-25 17:55:202024-02-25 17:55:21

Judging History

你现在查看的是最新测评结果

  • [2024-02-25 17:55:21]
  • 评测
  • 测评结果:100
  • 用时:114ms
  • 内存:17420kb
  • [2024-02-25 17:55:20]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
int n,m,k,mod,inv[10005];
void Add(int &x,int y){x=(x+y>=mod?x+y-mod:x+y);}
namespace Sub1
{
	int dp[105][105];
	void main()
	{
		dp[0][0]=1;
    	for(int i=1;i<=m;i++)
    	{
    		for(int j=0;j<=n;j++)
    		{
    			Add(dp[i][j],dp[i-1][j]);
    			Add(dp[i][j+1],1ll*dp[i-1][j]*inv[i]%mod);
			}
		}
		cout<<dp[m][n];
	}
}
namespace Sub2
{
	int dp[2][105][10005][2],ans;
	void main()
	{
		dp[0][0][0][0]=1;
		for(int i=1;i<=m;i++)
		{
			int p=i&1;
			for(int j=0;j<=min(i,n);j++)for(int k=0;k<=i*(i+1)/2;k++)dp[p][j][k][0]=dp[p][j][k][1]=0;
			for(int j=0;j<=min(i,n);j++)
			{
				for(int k=0;k<=i*(i+1)/2;k++)
				{
					if(dp[p^1][j][k][0])
					{
						Add(dp[p][j][k][0],dp[p^1][j][k][0]);
						Add(dp[p][j+1][k][0],1ll*dp[p^1][j][k][0]*inv[i]%mod);
						Add(dp[p][j+1][k+i][0],1ll*(mod-dp[p^1][j][k][0])*inv[i]%mod);
						Add(dp[p][j][k+i][1],1ll*i*dp[p^1][j][k][0]%mod);
					}
					if(dp[p^1][j][k][1]) 
					{
						Add(dp[p][j][k][1],dp[p^1][j][k][1]);
						Add(dp[p][j+1][k][1],1ll*dp[p^1][j][k][1]*inv[i]%mod);
						Add(dp[p][j+1][k+i][1],1ll*(mod-dp[p^1][j][k][1])*inv[i]%mod);
					}
				}
			}
		}
		for(int i=0;i<=m*(m+1)/2;i++)Add(ans,1ll*dp[m&1][n-1][i][1]*inv[i]%mod);
		cout<<ans;
	}
}
int main()
{
    cin.tie(0)->sync_with_stdio(0);
    cin>>n>>m>>k>>mod;
    inv[1]=1;
    for(int i=2;i<=10000;i++)inv[i]=1ll*(mod-mod/i)*inv[mod%i]%mod;
    if(k==1)Sub1::main();
    else Sub2::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: 1ms
memory: 3668kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3660kb

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 1ms
memory: 5792kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 1ms
memory: 5880kb

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: 3688kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3776kb

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: 8004kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 2ms
memory: 8012kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 0ms
memory: 8052kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 0ms
memory: 12016kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

30 30 1 202836509

output:

158493990

result:

ok single line: '158493990'

Subtask #4:

score: 10
Accepted

Test #16:

score: 10
Accepted
time: 0ms
memory: 11972kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 2ms
memory: 8004kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 2ms
memory: 7924kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 2ms
memory: 8020kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3748kb

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: 8048kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 5ms
memory: 10212kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 3ms
memory: 6260kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

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

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

34 38 1 499914887

output:

386116226

result:

ok single line: '386116226'

Subtask #6:

score: 10
Accepted

Test #26:

score: 10
Accepted
time: 22ms
memory: 11036kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 23ms
memory: 11052kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 16ms
memory: 11728kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 33ms
memory: 14904kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 114ms
memory: 14748kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 102ms
memory: 17388kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 99ms
memory: 17420kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 93ms
memory: 15352kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'