QOJ.ac

QOJ

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
#218510#6736. Alice and BobFr1nGeLove#TL 867ms130716kbC++201009b2023-10-18 14:18:302023-10-18 14:18:31

Judging History

你现在查看的是最新测评结果

  • [2023-10-18 14:18:31]
  • 评测
  • 测评结果:TL
  • 用时:867ms
  • 内存:130716kb
  • [2023-10-18 14:18:30]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
using i64 = long long;

constexpr int N = 1E7 + 10, mod = 998244353;

i64 fac[N], invfac[N];

i64 qmi(i64 a, i64 b) {
	i64 res = 1;
	while (b) {
		if (b & 1) {
			res = (res * a) % mod;
		}
		a = (a * a) % mod;
		b >>= 1;
	}
	return res;
}

int main() {
	std::ios::sync_with_stdio(false);
	std::cin.tie(nullptr);


	int n;
	cin >> n;
	fac[0] = invfac[0] = 1;
	for (i64 i = 1; i <= n; ++i) {
		fac[i] = (fac[i - 1] * i) % mod;
		invfac[i] = (invfac[i - 1] * qmi(i, mod - 2)) % mod;
	}
	// for (int i = 0; i <= 10; ++i) {
	// 	for (int j = 0; j <= i; ++j) {
	// 		cout << (fac[i] * invfac[j]) % mod << " ";
	// 	}
	// 	cout << "\n";
	// }
	i64 ans = 0;
	for (int i = 1; i <= n; ++i) {
		if (i - 1 > n - i) break;
		i64 t;
		if (i - 1 == 0) {
			t = fac[n - i];
		} else {
			t = ((fac[n - i] * invfac[n - 2 * i + 1] % mod) * (fac[n - i])) % mod;
		}
		ans = (ans + t) % mod;
	}
	cout << ans << "\n";
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3436kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3440kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3380kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3400kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3440kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3340kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3436kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 1ms
memory: 3500kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3568kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3412kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 157ms
memory: 24728kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 833ms
memory: 121864kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 867ms
memory: 130716kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 666ms
memory: 99324kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 381ms
memory: 58480kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 763ms
memory: 112272kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 328ms
memory: 48704kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: -100
Time Limit Exceeded

input:

9999998

output:

758172780

result: