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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
#775084#9553. The HermitTangWKAC ✓71ms15840kbC++201.8kb2024-11-23 14:40:502024-11-23 14:40:56

Judging History

你现在查看的是最新测评结果

  • [2024-11-23 14:40:56]
  • 评测
  • 测评结果:AC
  • 用时:71ms
  • 内存:15840kb
  • [2024-11-23 14:40:50]
  • 提交

answer

#include <bits/stdc++.h>
const int mod = 998244353;
void solve() {
	int m, n;
	std::cin >> m >> n;

	auto q_pow = [&] (int x, int p, int mod) {
		int ret = 1;
		while(p) {
			if(p & 1) {
				ret = (1ll * ret * x) % mod;
			}
			x = (1ll * x * x) % mod;
			p >>= 1;
		}
		return ret;
	};
	std::vector<int> fac(m + 1);
	std::vector<int> inv_fac(m + 1);
	fac[0] = 1;
	for (int i = 1; i <= m; ++i) {
		fac[i] = (1ll * fac[i - 1] * i) % mod;
	}
	inv_fac[m] = q_pow(fac[m], mod - 2, mod);
	for (int i = m; i >= 1; --i) {
		inv_fac[i - 1] = (1ll * inv_fac[i] * i) % mod;
	}
	auto C = [&] (int n, int m) {
		if(n < m) {
			// return 0ll;
			return 0ll;
		}
		int tmp_up = fac[n];
		int tmp_down = (1ll * inv_fac[m] * inv_fac[n - m]) % mod;
		return (1ll * tmp_up * tmp_down) % mod;
	};

	std::vector<std::vector<int>> dp(m + 1, std::vector<int>(20));
	for (int i = 1; i <= m; ++i) {
		dp[i][1] = 1;
		for (int j = 1; j * j <= i && j < i; ++j) {
			if(i % j == 0) {
				int tmp = i / j;
				for (int k = 2; k <= 17; ++k) {
					if (dp[j][k - 1] > 0) {
						dp[i][k] += dp[j][k - 1];
					}
				}
				if (tmp > j && tmp < i) {
					for (int k = 2; k <= 17; ++k) {
						if (dp[tmp][k - 1] > 0) {
							dp[i][k] += dp[tmp][k - 1];
						}
					}
				}
			}
		}
	}
	int ans = (1ll * n * C(m, n)) % mod;
	for (int i = 1; i <= m; ++i) {
		int tmp = 0;
		for (int k = 1; k <= 17 && k <= n; ++k) {
			// printf("{%d, %d} = %d\n", i, k, dp[i][k]);
			tmp = (0ll + tmp + 1ll * dp[i][k] * C(m / i - 1, n - k)) % mod;
		}
		// printf("tmp = %d, ans = %d\n", tmp, ans);
		ans = (0ll + mod + ans - tmp) % mod;
	}
	std::cout << ans << "\n";
	return;
}
int main() {
	std::ios_base::sync_with_stdio(false);
	std::cin.tie(nullptr);
	int t = 1;
	// std::cin >> t;
	while(t--) {
		solve();
	}
	return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3528kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 67ms
memory: 15628kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 5ms
memory: 4660kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 62ms
memory: 15660kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 60ms
memory: 15772kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 68ms
memory: 15720kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

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

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

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

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3844kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 67ms
memory: 15684kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 18ms
memory: 7496kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 5ms
memory: 4652kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 63ms
memory: 15764kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 66ms
memory: 15780kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 63ms
memory: 15712kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 4ms
memory: 4360kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 61ms
memory: 15668kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 69ms
memory: 15708kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 71ms
memory: 15680kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 71ms
memory: 15760kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 3ms
memory: 4608kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 63ms
memory: 15768kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 67ms
memory: 15704kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 67ms
memory: 15672kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 62ms
memory: 15776kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 66ms
memory: 15704kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 61ms
memory: 14904kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 65ms
memory: 14976kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

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

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

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

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 38ms
memory: 12020kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 37ms
memory: 11236kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 37ms
memory: 11192kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 67ms
memory: 15452kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 68ms
memory: 15428kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 68ms
memory: 15508kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 67ms
memory: 15840kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed