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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#774185#9782. NonZero PrefSuf Sumsucup-team3510#AC ✓42ms12744kbC++202.5kb2024-11-23 12:18:482024-11-23 12:18:54

Judging History

你现在查看的是最新测评结果

  • [2024-11-23 12:18:54]
  • 评测
  • 测评结果:AC
  • 用时:42ms
  • 内存:12744kb
  • [2024-11-23 12:18:48]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

const int N = 105;
int mod;
int F[N][N * N], sum[N * N];
int G[N][N][N];
int C[N][N], fac[N], inv[N], Inv[N];
bool vis[N];
int ans[N];
int qpow(int x, int y)
{
	int ans = 1;
	while(y)
	{
		if(y & 1)
			ans = (ll)ans * x % mod;
		x = (ll)x * x % mod;
		y >>= 1;
	}
	return ans;
}
void prep(int n)
{
	int i, j;
	fac[0] = 1;
	for(i = 1; i <= n; i++)
		fac[i] = (ll)fac[i - 1] * i % mod;
	inv[n] = qpow(fac[n], mod - 2);
	for(i = n; i >= 1; i--)
		inv[i - 1] = (ll)inv[i] * i % mod;
	for(i = 0; i <= n; i++)
	{
		C[i][0] = 1;
		for(j = 1; j <= i; j++)
			C[i][j] = (C[i - 1][j] + C[i - 1][j - 1]) % mod;
	}
}
void calc(int n, int m, int l, int r)
{
	int i, j;
	for(i = 0; i <= m; i++)
		F[0][i] = 0;
	F[0][0] = 1;
	for(i = 1; i <= n; i++)
	{
		for(j = 0; j <= m; j++)
			F[i][j] = 0;
		sum[0] = F[i - 1][0];
		for(j = 1; j <= m; j++)
			sum[j] = (sum[j - 1] + F[i - 1][j]) % mod;
		for(j = 0; j <= m; j++)
		{
			if(j >= l)
				F[i][j] = sum[j - l];
			if(j > r)
				F[i][j] = (F[i][j] + mod - sum[j - r - 1]) % mod;
		}
	}
}
int f(int n, int m)
{
	if(vis[m])
		return ans[m];
	int i, j, k, tmp = 0;
	for(k = 1; k <= m; k++)
	{
		for(i = 1; i <= n; i++)
			for(j = 0; j < n - i; j++)
			{
				int awa = G[k][n - i - j][i - 1];
				if(i >= 2 + k)
					awa = (awa + mod - G[k][n - i - j][i - k - 2]) % mod;
				tmp = (tmp + (ll)awa * fac[n] % mod * inv[i] % mod * inv[j] % mod * inv[n - i - j]) % mod;
				// if(k == 3)
				// 	printf("EE%d %d %d\n", i, j, (ll)awa * fac[n] % mod * inv[i] % mod * inv[j] % mod * inv[n - i - j] % mod);
			}
	}
	tmp = 2ll * tmp % mod;
	vis[m] = 1;
	return ans[m] = tmp;
}

int main()
{
	int n, m, i, j, k, ans = 0;
	scanf("%d%d%d", &n, &m, &mod);
	prep(100);
	if(n == 1)
	{
		printf("%d\n", 2 * m % mod);
		return 0;
	}
	for(i = 1; i <= m; i++)
	{
		calc(n, n, 1, i);
		for(j = 1; j <= n; j++)
		{
			memcpy(G[i][j], F[j], sizeof(G[i][j]));
			for(k = 1; k <= n; k++)
				G[i][j][k] = (G[i][j][k - 1] + G[i][j][k]) % mod;
		}
	}
	for(i = m; i >= 1; i--)
	{
		for(j = 1; j <= n; j++)
			for(k = 0; k <= n; k++)
				G[i][j][k] = (G[i][j][k] + mod - G[i - 1][j][k]) % mod;
	}
	for(i = 1; i <= m; i++)
		ans = (ans + f(n, m / i)) % mod;
	ans = (ans + 2ll * n * m) % mod;
	calc(n, m * n, 0, 2 * m);
	ans = (F[n][n * m] + ans) % mod;
	ans = (qpow(2 * m + 1, n) + mod - ans) % mod;
	printf("%d\n", ans);
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 5888kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 6ms
memory: 10936kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #3:

score: 0
Accepted
time: 1ms
memory: 5924kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 6ms
memory: 11132kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #5:

score: 0
Accepted
time: 13ms
memory: 10700kb

input:

61 75 677323601

output:

34613998

result:

ok single line: '34613998'

Test #6:

score: 0
Accepted
time: 0ms
memory: 6040kb

input:

13 14 670577333

output:

41465431

result:

ok single line: '41465431'

Test #7:

score: 0
Accepted
time: 1ms
memory: 5956kb

input:

14 6 987686347

output:

37536510

result:

ok single line: '37536510'

Test #8:

score: 0
Accepted
time: 0ms
memory: 6084kb

input:

15 12 196428923

output:

29322522

result:

ok single line: '29322522'

Test #9:

score: 0
Accepted
time: 0ms
memory: 8252kb

input:

68 7 786815587

output:

149281835

result:

ok single line: '149281835'

Test #10:

score: 0
Accepted
time: 1ms
memory: 5980kb

input:

3 2 503002109

output:

82

result:

ok single line: '82'

Test #11:

score: 0
Accepted
time: 1ms
memory: 6004kb

input:

13 5 756093197

output:

415698676

result:

ok single line: '415698676'

Test #12:

score: 0
Accepted
time: 1ms
memory: 5860kb

input:

2 3 646574611

output:

30

result:

ok single line: '30'

Test #13:

score: 0
Accepted
time: 5ms
memory: 10404kb

input:

39 68 120037189

output:

43217507

result:

ok single line: '43217507'

Test #14:

score: 0
Accepted
time: 1ms
memory: 7984kb

input:

13 4 423132517

output:

360231790

result:

ok single line: '360231790'

Test #15:

score: 0
Accepted
time: 1ms
memory: 5976kb

input:

14 3 309713387

output:

94215386

result:

ok single line: '94215386'

Test #16:

score: 0
Accepted
time: 3ms
memory: 10456kb

input:

24 77 886983941

output:

211636479

result:

ok single line: '211636479'

Test #17:

score: 0
Accepted
time: 0ms
memory: 7948kb

input:

3 3 504388063

output:

270

result:

ok single line: '270'

Test #18:

score: 0
Accepted
time: 1ms
memory: 5960kb

input:

3 1 936205423

output:

8

result:

ok single line: '8'

Test #19:

score: 0
Accepted
time: 1ms
memory: 6052kb

input:

3 3 295983139

output:

270

result:

ok single line: '270'

Test #20:

score: 0
Accepted
time: 1ms
memory: 6068kb

input:

10 15 446169107

output:

149884328

result:

ok single line: '149884328'

Test #21:

score: 0
Accepted
time: 0ms
memory: 10396kb

input:

37 18 833753929

output:

592917251

result:

ok single line: '592917251'

Test #22:

score: 0
Accepted
time: 1ms
memory: 6064kb

input:

11 3 998773403

output:

860630017

result:

ok single line: '860630017'

Test #23:

score: 0
Accepted
time: 1ms
memory: 8344kb

input:

14 85 688036639

output:

347188409

result:

ok single line: '347188409'

Test #24:

score: 0
Accepted
time: 0ms
memory: 5980kb

input:

3 3 844621907

output:

270

result:

ok single line: '270'

Test #25:

score: 0
Accepted
time: 0ms
memory: 7948kb

input:

3 4 204335891

output:

620

result:

ok single line: '620'

Test #26:

score: 0
Accepted
time: 1ms
memory: 7988kb

input:

7 8 113007667

output:

58946097

result:

ok single line: '58946097'

Test #27:

score: 0
Accepted
time: 1ms
memory: 7932kb

input:

4 1 637268377

output:

22

result:

ok single line: '22'

Test #28:

score: 0
Accepted
time: 1ms
memory: 5948kb

input:

11 14 391637237

output:

303270280

result:

ok single line: '303270280'

Test #29:

score: 0
Accepted
time: 1ms
memory: 5852kb

input:

3 2 208286231

output:

82

result:

ok single line: '82'

Test #30:

score: 0
Accepted
time: 1ms
memory: 5952kb

input:

2 11 662696483

output:

462

result:

ok single line: '462'

Test #31:

score: 0
Accepted
time: 2ms
memory: 10128kb

input:

19 55 974135299

output:

887460557

result:

ok single line: '887460557'

Test #32:

score: 0
Accepted
time: 1ms
memory: 5936kb

input:

6 8 417027509

output:

23351024

result:

ok single line: '23351024'

Test #33:

score: 0
Accepted
time: 1ms
memory: 5920kb

input:

8 13 624006587

output:

353008442

result:

ok single line: '353008442'

Test #34:

score: 0
Accepted
time: 1ms
memory: 6048kb

input:

10 10 740294671

output:

79436611

result:

ok single line: '79436611'

Test #35:

score: 0
Accepted
time: 0ms
memory: 6052kb

input:

11 10 394088657

output:

161476458

result:

ok single line: '161476458'

Test #36:

score: 0
Accepted
time: 0ms
memory: 6244kb

input:

9 27 562853573

output:

135252259

result:

ok single line: '135252259'

Test #37:

score: 0
Accepted
time: 1ms
memory: 8032kb

input:

8 3 829129009

output:

5349034

result:

ok single line: '5349034'

Test #38:

score: 0
Accepted
time: 6ms
memory: 10764kb

input:

51 49 924010279

output:

815049368

result:

ok single line: '815049368'

Test #39:

score: 0
Accepted
time: 1ms
memory: 8104kb

input:

12 2 308466749

output:

223013998

result:

ok single line: '223013998'

Test #40:

score: 0
Accepted
time: 1ms
memory: 7952kb

input:

7 4 567557693

output:

4502296

result:

ok single line: '4502296'

Test #41:

score: 0
Accepted
time: 6ms
memory: 10348kb

input:

36 93 943780729

output:

13599465

result:

ok single line: '13599465'

Test #42:

score: 0
Accepted
time: 1ms
memory: 5844kb

input:

2 1 828681127

output:

2

result:

ok single line: '2'

Test #43:

score: 0
Accepted
time: 1ms
memory: 6052kb

input:

3 3 534160729

output:

270

result:

ok single line: '270'

Test #44:

score: 0
Accepted
time: 1ms
memory: 10196kb

input:

7 12 920925433

output:

453086694

result:

ok single line: '453086694'

Test #45:

score: 0
Accepted
time: 1ms
memory: 5856kb

input:

3 2 440546987

output:

82

result:

ok single line: '82'

Test #46:

score: 0
Accepted
time: 3ms
memory: 8424kb

input:

90 9 291269963

output:

72560304

result:

ok single line: '72560304'

Test #47:

score: 0
Accepted
time: 0ms
memory: 8280kb

input:

38 10 867575113

output:

165530481

result:

ok single line: '165530481'

Test #48:

score: 0
Accepted
time: 4ms
memory: 9988kb

input:

48 37 152663531

output:

135425620

result:

ok single line: '135425620'

Test #49:

score: 0
Accepted
time: 1ms
memory: 10072kb

input:

15 15 991731803

output:

102703562

result:

ok single line: '102703562'

Test #50:

score: 0
Accepted
time: 42ms
memory: 12744kb

input:

100 100 696969697

output:

313377809

result:

ok single line: '313377809'

Extra Test:

score: 0
Extra Test Passed