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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#132647#6736. Alice and Bobbucketpotato#AC ✓596ms42696kbC++20933b2023-07-30 22:58:352023-07-30 22:58:36

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-30 22:58:36]
  • 评测
  • 测评结果:AC
  • 用时:596ms
  • 内存:42696kb
  • [2023-07-30 22:58:35]
  • 提交

answer

#include "bits/stdc++.h"

using namespace std;
#define ll long long
const ll MOD = 998244353;
const int MAXN = 10000010;

int f[MAXN];

ll binexp(ll x, ll y) {
  ll mu = 1;
  while (y > 0) {
    if (y % 2) {
      mu *= x;
      mu %= MOD;
      y--;
    }
    else {
      x *= x;
      x %= MOD;
      y /= 2;
    }
  }
  return mu;
}

int main() {

  cin.tie(0)->sync_with_stdio(0);
  cin.exceptions(cin.failbit);

  int n; cin >> n;

  f[0] = 1;
  for (int i = 1; i < MAXN; i++) {
    f[i] = (((ll)f[i - 1]) * ((ll)i)) % MOD;
  }

  ll ans = 0;
  for (ll i = 1; i <= n; i++) {

    ll rm = n - i;

    // need to choose (i - 1) out of rm
    // then permute them arbitrarily

    if (rm >= i - 1) {
      ll ta = (f[rm] * binexp(f[rm - (i - 1)], MOD - 2)) % MOD;
      ta *= f[rm];
      ta %= MOD;
      ans += ta;
      ans %= MOD;
    }

  }

  cout << ans << "\n";

}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 38ms
memory: 42436kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 41ms
memory: 42696kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 37ms
memory: 42660kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 45ms
memory: 42520kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 49ms
memory: 42536kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 49ms
memory: 42480kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 37ms
memory: 42524kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 41ms
memory: 42480kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 38ms
memory: 42524kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 36ms
memory: 42656kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 37ms
memory: 42696kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 40ms
memory: 42476kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 36ms
memory: 42520kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 116ms
memory: 42528kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 459ms
memory: 42440kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 490ms
memory: 42480kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 380ms
memory: 42528kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 234ms
memory: 42596kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 430ms
memory: 42692kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 209ms
memory: 42528kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 596ms
memory: 42520kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 592ms
memory: 42484kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 593ms
memory: 42532kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"