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
#395495#6736. Alice and Bobfrozen_wjlAC ✓141ms238112kbC++23941b2024-04-21 15:28:572024-04-21 15:28:57

Judging History

你现在查看的是最新测评结果

  • [2024-04-21 15:28:57]
  • 评测
  • 测评结果:AC
  • 用时:141ms
  • 内存:238112kb
  • [2024-04-21 15:28:57]
  • 提交

answer

#pragma GCC optimize(2)
#include<cmath>
#include<iostream>
#define mod 998244353
#define ll long long
#define N 10000005
using namespace std;

ll fac[N],inv1[N],inv0[N];
ll inv(ll t)
{
	return t == 1 ? 1 : (mod - mod / t) * inv(mod % t) % mod;
}

void init()
{
	int n = N-3;
	fac[0] = 1;
	inv1[0] = 1;
	inv0[1] = 1;
	fac[1] = fac[0]% mod;
	inv1[1] = inv(1) * inv1[0] % mod;
	for (int i = 2;i <= n;++i)
	{
		fac[i] = fac[i - 1] * i % mod;
		inv0[i] = inv0[mod % i] * (mod - mod / i) % mod;
		inv1[i] = inv0[i] * inv1[i - 1] % mod;
	}
	inv1[n] = inv(fac[n]);
}
ll A(ll a, ll b)
{
	ll ret = 0;
	if (b >= a)
		return fac[a];
	return fac[a] * inv1[a - b] % mod;
}
int main()
{
	int n;
	ll ans = 0;
	cin >> n;
	init();
	
	for (int i = 0;i < n;++i)
	{
		if (n - 1 - i < i)
			break;
		else ans = (ans + A(n - 1 - i, i) * A(n - 1 - i, n - 1 - i) % mod) % mod;
	}
	cout << ans << "\n";
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 116ms
memory: 238028kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 96ms
memory: 238108kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 121ms
memory: 238040kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 120ms
memory: 237956kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 117ms
memory: 238028kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 115ms
memory: 237968kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 140ms
memory: 237960kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 121ms
memory: 238024kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 113ms
memory: 238052kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 120ms
memory: 237996kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 124ms
memory: 238084kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 117ms
memory: 238112kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 110ms
memory: 238024kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 119ms
memory: 238024kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 127ms
memory: 238044kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 141ms
memory: 237964kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 127ms
memory: 238028kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 137ms
memory: 238108kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 131ms
memory: 237992kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 115ms
memory: 238088kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 131ms
memory: 238028kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 126ms
memory: 237964kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 127ms
memory: 238104kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"