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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#140997#6736. Alice and BobUFRJ#AC ✓84ms81756kbC++202.2kb2023-08-17 04:38:462023-08-17 04:38:50

Judging History

你现在查看的是最新测评结果

  • [2023-08-17 04:38:50]
  • 评测
  • 测评结果:AC
  • 用时:84ms
  • 内存:81756kb
  • [2023-08-17 04:38:46]
  • 提交

answer

#include<bits/stdc++.h>

using lint = int64_t;
using namespace std;
const int mod = 998244353;

int minv(int a, lint m){
  a %= m; assert(a);
  return a == 1? 1 : int(m - int64_t(minv(m, a)) * m / a);
}

template<unsigned M_> struct modnum{
  static constexpr unsigned M = M_;
  using ll = int64_t; using ull = uint64_t; unsigned x;
  modnum& norm(unsigned a) { x = a < M ? a : a - M; return *this;}
  constexpr modnum (ll a = 0U) : x(unsigned((a %= ll(M))) < 0 ? a + ll(M) : a) {}
  explicit operator int () const {return x;}
  modnum & operator+= (const modnum& a) { return norm(x + a.x);}
  modnum & operator-= (const modnum& a) { return norm(x - a.x + M);}
  modnum & operator*= (const modnum& a) { x = unsigned(ull(x)*a.x % M); return *this;}
  modnum & operator/= (const modnum& a) { return (*this *= a.inv());}
  modnum operator+ (const modnum& a) { return (modnum(*this) += a);}
  modnum operator- (const modnum& a) { return (modnum(*this) -= a);}
  modnum operator* (const modnum& a) { return (modnum(*this) *= a);}
  modnum operator/ (const modnum& a) { return (modnum(*this) /= a);}
  template<typename T> friend modnum operator+(T a, const modnum &b) { return (modnum(a) += b);}
  template<typename T> friend modnum operator-(T a, const modnum &b) { return (modnum(a) -= b);}
  template<typename T> friend modnum operator*(T a, const modnum &b) { return (modnum(a) *= b);}
  template<typename T> friend modnum operator/(T a, const modnum &b) { return (modnum(a) /= b);}
  modnum operator+() const {return *this;}
  modnum operator-() const {return modnum() - *this;}
  modnum inv() const { return minv(x, M); }
  friend modnum inv(const modnum& a){return a.inv(); }
};

using num = modnum<mod>;

const int lim = 1e7 + 10;
num fac[lim], ifac[lim];
void prep(){
  fac[0] = 1;
  for(int i=1;i<lim;i++) fac[i] = fac[i-1] * i;
  ifac[lim-1] = fac[lim-1].inv();
  for(int i=lim-2;i>=0;i--) ifac[i] = ifac[i+1] * (i + 1);
}

int main(void) {
  cin.tie(nullptr)->sync_with_stdio(false);
  prep();
  int n;
  cin>>n;
  num ans = 0;
  for(int i=1;i<=n;i++){
    if(n - i < i - 1) break;
    ans += fac[n - i] * ifac[n - 2 * i + 1] * fac[n - i];
  }
  cout<<ans.x<<"\n";
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 73ms
memory: 81704kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 67ms
memory: 81588kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 70ms
memory: 81548kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 67ms
memory: 81588kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 71ms
memory: 81596kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 79ms
memory: 81704kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 78ms
memory: 81596kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 67ms
memory: 81544kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 74ms
memory: 81720kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 66ms
memory: 81496kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 79ms
memory: 81592kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 71ms
memory: 81720kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 71ms
memory: 81544kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 75ms
memory: 81756kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 72ms
memory: 81720kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 84ms
memory: 81548kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 81ms
memory: 81604kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 78ms
memory: 81452kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 82ms
memory: 81652kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 78ms
memory: 81588kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 82ms
memory: 81504kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 82ms
memory: 81540kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 79ms
memory: 81596kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"