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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#145204#6736. Alice and Bobberarchegas#AC ✓155ms81764kbC++171.3kb2023-08-22 00:20:522023-08-22 00:20:56

Judging History

你现在查看的是最新测评结果

  • [2023-08-22 00:20:56]
  • 评测
  • 测评结果:AC
  • 用时:155ms
  • 内存:81764kb
  • [2023-08-22 00:20:52]
  • 提交

answer

#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
 
mt19937 rng((int) chrono::steady_clock::now().time_since_epoch().count());
    
const int MOD = 998244353;
const int MAXN = 1e7 + 5;
const ll INF = 2e18;

int fat[MAXN], inv[MAXN];

ll fexp(ll b, ll e) {
    ll ans = 1;
    while (e) {
        if (e&1) ans = (ans * b) % MOD;
        b = (b * b) % MOD;
        e >>= 1;
    }
    return ans;
}

void precalc() {
    fat[0] = 1;
    for (int i = 1; i < MAXN; i++) fat[i] = (1ll * i * fat[i - 1]) % MOD;
    inv[MAXN - 1] = fexp(fat[MAXN - 1], MOD - 2);
    for (int i = MAXN - 2; i >= 0; i--) inv[i] = ((i + 1ll) * inv[i + 1]) % MOD;
}

int nck(int n, int k) {
    if (k > n || k < 0 || n < 0) return 0;
    return (((1ll * fat[n] * inv[k]) % MOD) * 1ll * inv[n - k]) % MOD; 
}

void add(int &a, int b) {
    a += b;
    if (a >= MOD) a -= MOD;
    if (a < 0) a += MOD;
}

int mul(int a, int b) {
    return (1ll * a * b) % MOD;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    precalc();
    int n;
    cin >> n;
    int ans = 0;
    for (int i = 1; i <= n; i++) {
        // primeiro elemento
        add(ans, mul(fat[i - 1], mul(nck(n - i, i - 1), fat[n - i])));
    }    
    cout << ans << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 81ms
memory: 81604kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 80ms
memory: 81600kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 83ms
memory: 81648kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 83ms
memory: 81560kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 77ms
memory: 81756kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 84ms
memory: 81608kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 84ms
memory: 81704kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 88ms
memory: 81588kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 84ms
memory: 81764kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 83ms
memory: 81608kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 83ms
memory: 81540kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 83ms
memory: 81592kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 80ms
memory: 81608kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 93ms
memory: 81592kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 126ms
memory: 81724kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 126ms
memory: 81588kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 114ms
memory: 81648kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 105ms
memory: 81592kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 119ms
memory: 81596kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 94ms
memory: 81716kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 155ms
memory: 81604kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 134ms
memory: 81612kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 142ms
memory: 81604kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"