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
#412431#6736. Alice and BobpAC ✓124ms159968kbC++14914b2024-05-16 14:06:562024-05-16 14:06:56

Judging History

你现在查看的是最新测评结果

  • [2024-05-16 14:06:56]
  • 评测
  • 测评结果:AC
  • 用时:124ms
  • 内存:159968kb
  • [2024-05-16 14:06:56]
  • 提交

answer

#include <iostream>
#define int long long
using namespace std;

const int N = 1e7 + 10, mod = 998244353;
int f[N];
int fp[N];

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

void init()
{
    f[0] = 1;
    for (int i = 1; i < N; i++)
        f[i] = f[i - 1] * i % mod;

    fp[N - 1] = qmi(f[N - 1], mod - 2);
    for (int i = N - 2; i >= 0; i--)
        fp[i] = fp[i + 1] * (i + 1) % mod;
}

int get(int up, int down)
{
    return (f[down] * fp[up] % mod) * fp[down - up] % mod;
}

signed main()
{
    init();
    int n;
    cin >> n;
    int ans = 0;

    for (int i = 1; i <= (n + 1) / 2; i++)
    {
        ans = (ans + ((f[i - 1] * get(i - 1, n - i) % mod) * f[n - i]) % mod) % mod;
    }
    cout << ans;
}

详细

Test #1:

score: 100
Accepted
time: 87ms
memory: 159968kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 76ms
memory: 159780kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 86ms
memory: 159900kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 91ms
memory: 159916kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 79ms
memory: 159884kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 89ms
memory: 159960kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 82ms
memory: 159784kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 79ms
memory: 159964kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 77ms
memory: 159968kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 79ms
memory: 159916kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 82ms
memory: 159780kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 74ms
memory: 159960kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 91ms
memory: 159892kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 86ms
memory: 159968kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 107ms
memory: 159900kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 109ms
memory: 159796kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 99ms
memory: 159836kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 102ms
memory: 159900kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 113ms
memory: 159900kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 100ms
memory: 159960kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 123ms
memory: 159952kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 115ms
memory: 159828kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 124ms
memory: 159792kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"