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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
#752975#9553. The Hermitucup-team3646#AC ✓108ms23536kbC++202.5kb2024-11-16 10:44:142024-11-18 19:44:56

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:44:56]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:108ms
  • 内存:23536kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 10:44:16]
  • 评测
  • 测评结果:100
  • 用时:106ms
  • 内存:23536kb
  • [2024-11-16 10:44:14]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
#define rep(i, n) for (ll i = 0; i < n; i++)
#define rep2(i, l, r) for (ll i = l; i < r; i++)

using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;

/* ---- */
#define all(A) A.begin(), A.end()
#define elif else if
using pii = pair<ll, ll>;

bool chmin(auto &a, const auto &b) { return a > b ? a = b, 1 : 0; }
bool chmax(auto &a, const auto &b) { return a < b ? a = b, 1 : 0; }

struct IOSetup {
  IOSetup() {
    cin.tie(0);
    ios::sync_with_stdio(0);
  }
} iosetup;

template <class T>
void print(vector<T> a) {
  for (auto x : a) cerr << x << ' ';
  cerr << endl;
}

void print(auto x) { cerr << x << endl; }

template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
  cerr << head << ' ';
  print(forward<Tail>(tail)...);
}

const ll mod=998244353;

ll powll(ll x, ll k) {
  ll v = 1;
  while (k) {
    if (k & 1) v = v * x % mod;
    x = x * x % mod;
    k >>= 1;
  }
  return v;
}

int len=200000;
vll fac, finv;

void precalc() {
  fac.assign(len, 1), finv.assign(len, 1);
  rep2(i, 2, len) fac[i] = fac[i - 1] * i % mod;
  finv[len - 1] = powll(fac[len - 1], mod - 2);
  for (int i = len - 2; i >= 0; i--) finv[i] = finv[i + 1] * (i + 1) % mod;
}

ll binom(ll n, ll k) {
  if (n < 0 || k < 0 || k > n) return 0;
  // assert(n < len);
  return fac[n] * finv[k] % mod * finv[n - k] % mod;
}

ll inv(ll a) {
  // a = (a % mod + mod) % mod; // 必要なら
  if (a < len) return fac[a - 1] * finv[a] % mod;
  return powll(a, mod - 2);
}


int main(){
  precalc();
  int n,m;
  cin>>m>>n;
  int K=20;
  vector<vll>dp(K+1,vll(m+1,0));
  rep2(i,1,m+1)dp[1][i]=1;
  rep2(j,1,K-1){
    rep2(i,1,m+1){
      int now=2*i;
      while(now<=m){
        dp[j+1][now]+=dp[j][i];
        dp[j+1][now]%=mod;
        now+=i;
      }
    }
  }
  // rep2(i,1,K-1){
  //   rep2(j,1,m+1){
  //     int rem=(m/j)-1;
  //     dp2[i][j]=dp[i][j]%mod*binom(rem,n-i)%mod;
  //   }
  // }

  // rep2(i,1,4){
  //   print(dp2[i]);
  // }

  ll ans=0;
  ll ALL=binom(m,n);
  rep2(i,1,K-1){
    rep2(j,1,m+1){
      ll c=dp[i][j];
      int now=2*j;
      ll rem=c*binom((m/j)-1,n-i);
      rem%=mod;
      while(now<=m){
        rem-=c*binom((m/now)-1,n-(i+1));
        rem%=mod;
        now+=j;
      }
      ans+=rem*max(0LL,n-i);
      ans%=mod;
      ALL-=rem;
      ALL%=mod;
    }
  }
  ans+=ALL*n;
  ans%=mod;
  ans=(ans%mod+mod)%mod;
  cout<<ans<<endl;
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 4ms
memory: 6316kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 6208kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 91ms
memory: 23380kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 8ms
memory: 8076kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 86ms
memory: 23376kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 94ms
memory: 23396kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 102ms
memory: 23408kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 3ms
memory: 6212kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 3ms
memory: 6092kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 3ms
memory: 6184kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 6364kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 3ms
memory: 6204kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 3ms
memory: 6312kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 6724kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 6648kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 3ms
memory: 6556kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 3ms
memory: 6612kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 85ms
memory: 23380kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 30ms
memory: 12300kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 10ms
memory: 8364kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 3ms
memory: 6224kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 95ms
memory: 23376kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 98ms
memory: 23532kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 94ms
memory: 23536kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 12ms
memory: 8128kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 97ms
memory: 23516kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 102ms
memory: 23388kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 103ms
memory: 23368kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 96ms
memory: 23420kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 14ms
memory: 8680kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 99ms
memory: 23384kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 107ms
memory: 23368kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 107ms
memory: 23392kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 108ms
memory: 23408kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 96ms
memory: 23372kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 93ms
memory: 22632kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 81ms
memory: 22604kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 3ms
memory: 6224kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 6368kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 3ms
memory: 6316kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 3ms
memory: 6180kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 6212kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 3ms
memory: 6160kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 6116kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 3ms
memory: 6312kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 3ms
memory: 6108kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 62ms
memory: 18424kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 68ms
memory: 17660kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 71ms
memory: 17616kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 98ms
memory: 23536kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 94ms
memory: 23464kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 94ms
memory: 23532kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 93ms
memory: 23364kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed