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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
#364586#6736. Alice and BobAtmizz#AC ✓184ms237680kbC++201002b2024-03-24 15:27:022024-03-24 15:27:02

Judging History

你现在查看的是最新测评结果

  • [2024-03-24 15:27:02]
  • 评测
  • 测评结果:AC
  • 用时:184ms
  • 内存:237680kb
  • [2024-03-24 15:27:02]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
const int mod = 998244353;
typedef long long LL;
#define int long long
const int N = 1e7 + 20;
const int M = 1e7;

LL fac[N], inFac[N];

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

LL C(LL n, LL m) {
	if(n < m) {
		return 0;
	}
	return fac[n] * inFac[m] % mod * inFac[n-m] % mod;
}

signed main()
{
    int n;
    cin >> n;
    fac[0] = 1;
    for(int i = 1; i <= n; ++ i) {
    	fac[i] = fac[i-1] * i % mod;
    }
    inFac[n] = qmi(fac[n], mod - 2);
    for(int i = n - 1; i >= 0; -- i) {
    	inFac[i] = inFac[i+1] * (i + 1) % mod;
    }
    vector<LL> s(n+10);
    s[0]=1;
    for(int i=1;i<=n;i++) s[i]=s[i-1]*i%mod;
    int sum=0;
    for(int x=1;x<=n;x++){
        sum=(sum+C(n-x,x-1)*s[n-x]%mod*s[x-1]%mod)%mod;
    }
    while(sum < 0) {
    	sum += mod;
    }
    cout<<(sum+mod)%mod<<endl;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 5640kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5872kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 5592kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5640kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5584kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5632kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5548kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5576kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5572kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5836kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5676kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 24ms
memory: 37204kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 113ms
memory: 184996kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 145ms
memory: 196684kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 78ms
memory: 148948kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 49ms
memory: 89116kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 113ms
memory: 171396kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 49ms
memory: 74688kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 143ms
memory: 237668kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 168ms
memory: 237680kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 184ms
memory: 237444kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"