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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#368655#6736. Alice and BobliutaowoainiAC ✓166ms237696kbC++171.1kb2024-03-27 14:57:372024-03-27 14:57:38

Judging History

你现在查看的是最新测评结果

  • [2024-03-27 14:57:38]
  • 评测
  • 测评结果:AC
  • 用时:166ms
  • 内存:237696kb
  • [2024-03-27 14:57:37]
  • 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;
    }//计算组合数
    vector<LL> s(n + 10);
    s[0] = 1;
    for (int i = 1; i <= n; i++) s[i] = s[i - 1] * i % mod;//提前计算阶乘
    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;
    }
    cout << (sum + mod) % mod << endl;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5840kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

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

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 5568kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5784kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

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

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 0ms
memory: 5516kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

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

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5848kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5656kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5784kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5840kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 0ms
memory: 5628kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5804kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 28ms
memory: 40760kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 103ms
memory: 180680kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 106ms
memory: 194192kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 97ms
memory: 148884kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 52ms
memory: 87904kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 88ms
memory: 168648kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 48ms
memory: 73840kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 158ms
memory: 237600kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 166ms
memory: 237696kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 124ms
memory: 237576kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"