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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#775562#9553. The Hermitguiyuan98#AC ✓430ms42096kbC++203.1kb2024-11-23 16:13:102024-11-23 16:13:10

Judging History

你现在查看的是最新测评结果

  • [2024-11-23 16:13:10]
  • 评测
  • 测评结果:AC
  • 用时:430ms
  • 内存:42096kb
  • [2024-11-23 16:13:10]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define IOS ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
#define linf 1e18
#define pb push_back
#define siz size()
#define int long long
#define ll long long
#define ld long double
#define PII pair<int, int>
const int mod = 998244353;
using i64 = long long;
using u64 = unsigned long long;
const int N = 1e5 + 10;
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());

namespace my128
{
  using i128 = __int128_t;
  i128 abs(const i128 &x) { return x > 0 ? x : -x; }
  auto &operator>>(istream &it, i128 &j)
  {
    string val;
    it >> val;
    i128 ans = 0;
    bool f = 0; // 负数标记
    for (char c : val)
    {
      if (c == '-')
        f = 1;
      else if (c >= '0' && c <= '9')
        ans = ans * 10 + c - '0';
    }
    j = f ? -ans : ans;
    return it;
  }

  auto &operator<<(ostream &os, const i128 &j)
  {
    string ans;
    function<void(i128)> write = [&](i128 x)
    { if (x < 0) ans += '-', x = -x; if (x > 9) write(x / 10); ans += x % 10 + '0'; };
    write(j);
    return os << ans;
  }
}
using namespace my128;
// my128::i128 a, b;
int qpow(int a, int b)
{
  int res = 1;
  while (b)
  {
    if (b & 1)
      res = res * a % mod;
    a = a * a % mod;
    b >>= 1;
  }
  return res;
}
struct myhash
{
  static uint64_t hash(uint64_t x)
  {
    x += 0x9e3779b97f4a7c15;
    x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
    x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
    return x ^ (x >> 31);
  }
  size_t operator()(uint64_t x) const
  {
    static const uint64_t SEED =
        chrono::steady_clock::now().time_since_epoch().count();
    return hash(x + SEED);
  }
  size_t operator()(pair<uint64_t, uint64_t> x) const
  {
    static const uint64_t SEED =
        chrono::steady_clock::now().time_since_epoch().count();
    return hash(x.first + SEED) ^ (hash(x.second + SEED) >> 1);
  }
};
ll fac[N], invfac[N];
void init(int n)
{
  fac[0] = 1;
  for (int i = 1; i <= n; i++)
    fac[i] = fac[i - 1] * i % mod;
  invfac[n] = qpow(fac[n], mod - 2);
  for (int i = n - 1; i >= 0; i--)
    invfac[i] = invfac[i + 1] * (i + 1) % mod;
}

i64 C(int n, int m)
{ // 组合数
  if (m > n || m < 0)
    return 0;
  return fac[n] * invfac[m] % mod * invfac[n - m] % mod;
}

i64 A(int n, int m)
{ // 排列数
  if (m > n || m < 0)
    return 0;
  return fac[n] * invfac[n - m] % mod;
}

i64 catalan(int n)
{ // 卡特兰数
  if (n < 0)
    return 0;
  return C(2 * n, n) * qpow(n + 1, mod - 2) % mod;
}
void solve()
{
  int n, m;
  cin >> m >> n;
  unordered_map<int, unordered_map<int, int, myhash>, myhash> f;
  init(N - 1);
  for (int i = 1; i <= m; i++)
    f[1][i] = 1;
  int ans = n * C(m, n) % mod;
  for (int i = 1; i <= n; i++)
  {
    for (auto [x, y] : f[i])
    {
      ans = (ans - (f[i][x] * C(m / x - 1, n - i) % mod) + mod) % mod;
      for (int j = 2; j * x <= m && i + 1 <= n; j++)
        f[i + 1][j * x] = (f[i + 1][j * x] + f[i][x]) % mod;
    }
  }
  cout << ans;
}
signed main()
{
  IOS;
  int t = 1;
  // cin >> t;
  while (t--)
    solve();
  return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 5188kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 2ms
memory: 5256kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 416ms
memory: 41884kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 25ms
memory: 7856kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 386ms
memory: 32696kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 16ms
memory: 10732kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 393ms
memory: 31284kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 5184kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 2ms
memory: 5156kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 2ms
memory: 5260kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 2ms
memory: 5180kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 2ms
memory: 5412kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 2ms
memory: 5160kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 5404kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 4ms
memory: 5744kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 5640kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 3ms
memory: 5432kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 422ms
memory: 39308kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 89ms
memory: 14064kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 24ms
memory: 7860kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 2ms
memory: 5152kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 385ms
memory: 32132kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 413ms
memory: 41344kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 410ms
memory: 39252kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 20ms
memory: 7744kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 143ms
memory: 16736kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 249ms
memory: 23088kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 409ms
memory: 42096kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 414ms
memory: 41924kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 28ms
memory: 8416kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 399ms
memory: 31552kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 392ms
memory: 31340kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 430ms
memory: 31496kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 401ms
memory: 31312kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 425ms
memory: 41964kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 373ms
memory: 39496kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 379ms
memory: 39576kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 2ms
memory: 5216kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 2ms
memory: 5180kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 2ms
memory: 5184kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 2ms
memory: 5188kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 2ms
memory: 5256kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 2ms
memory: 5244kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 2ms
memory: 5216kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 5256kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 2ms
memory: 5120kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 249ms
memory: 25352kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 206ms
memory: 21492kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 220ms
memory: 21520kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 388ms
memory: 31312kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 375ms
memory: 31400kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 134ms
memory: 16884kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 402ms
memory: 36616kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed