QOJ.ac

QOJ

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
#756281#9553. The Hermitucup-team3734#AC ✓40ms12292kbC++231.9kb2024-11-16 19:41:182024-11-18 19:50:18

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:50:18]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:40ms
  • 内存:12292kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 19:41:19]
  • 评测
  • 测评结果:100
  • 用时:39ms
  • 内存:12164kb
  • [2024-11-16 19:41:18]
  • 提交

answer

#include "bits/stdc++.h"

using namespace std;

using ll = long long;
using ld = long double;

#define all(x) (x).begin(), (x).end()

const int mod = 998244353;

int add(int x) {
  return x;
}

template<typename... T>
int add(int x, T... y) {
  x += add(y...);
  if (x >= mod)
    x -= mod;
  return x;
}

template<typename... T>
int udd(int &x, T... y) {
  return x = add(x, y...);
}

template<typename... T>
int sub(int x, T... y) {
  return add(x, mod - add(y...));
}

int mul(int x) {
  return x;
}

template<typename... T>
int mul(int x, T... y) {
  return 1ll * x * mul(y...) % mod;
}

int bin(int x, int to) {
  int y = 1;
  while (to) {
    if (to & 1) {
      y = mul(x, y);
    }
    to >>= 1;
    x = mul(x, x);
  }
  return y;
}

int inv(int x) {
  assert(x != 0);
  return bin(x, mod - 2);
}

const int M = 100300;
const int A = 20;

int fact[M], ifact[M];

int binom(int n, int k) {
  if (n < 0 || k < 0 || n < k)
    return 0;
  return mul(fact[n], ifact[n - k], ifact[k]);
}

void precalc() {
  fact[0] = 1;
  for (int i = 1; i < M; ++i) {
    fact[i] = mul(i, fact[i - 1]);
  }
  for (int i = 0; i < M; ++i)
    ifact[i] = inv(fact[i]);
}

int d[A][M];

void pre() {
  fill(d[1], d[1] + M, 1);

  for (int j = 1; j + 1 < A; ++j)
    for (int i = 1; i < M; ++i) {
      for (int t = 2 * i; t < M; t += i)
        udd(d[j + 1][t], d[j][i]);
    }

}


int main() {
#ifndef ONLINE_JUDGE
  freopen("f.txt", "r", stdin);
#endif
  ios_base::sync_with_stdio(false);

  precalc();
  pre();

  int n, m;
  cin >> m >> n;

  int ans = mul(n, binom(m, n));
  for (int j = 1; j < A && j <= n; ++j)
    for (int x = 1; x <= m; ++x) {
      int bon = d[j][x];
      if (n > j)
        bon = mul(bon, binom((m / x) - 1, n - j));

//      cerr << "len = " << j << " pivot = " << x << " cnt ways = " << d[j][x] << " total = " << bon << "\n";

      ans = sub(ans, bon);
    }

  cout << ans << "\n";

  return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 37ms
memory: 11820kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 35ms
memory: 11960kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 35ms
memory: 11888kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 33ms
memory: 11900kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 32ms
memory: 12048kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 29ms
memory: 11868kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 40ms
memory: 11864kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 36ms
memory: 11832kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 36ms
memory: 11896kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 31ms
memory: 11828kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 30ms
memory: 12240kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 21ms
memory: 11820kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 37ms
memory: 11824kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 25ms
memory: 11884kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 31ms
memory: 11876kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 34ms
memory: 12020kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 27ms
memory: 11880kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 38ms
memory: 11872kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 36ms
memory: 12124kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 31ms
memory: 12224kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 36ms
memory: 11940kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 39ms
memory: 11952kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 31ms
memory: 11900kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 37ms
memory: 11824kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 35ms
memory: 12120kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 28ms
memory: 11876kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 29ms
memory: 12020kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 30ms
memory: 12092kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 39ms
memory: 11836kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 32ms
memory: 11868kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 27ms
memory: 11956kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 36ms
memory: 11880kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 35ms
memory: 11940kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 36ms
memory: 11884kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 32ms
memory: 11884kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 34ms
memory: 12288kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 33ms
memory: 11936kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 32ms
memory: 11888kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 31ms
memory: 12292kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 25ms
memory: 11832kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 32ms
memory: 11892kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 36ms
memory: 11824kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 22ms
memory: 11900kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 34ms
memory: 11884kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 32ms
memory: 11904kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 29ms
memory: 11896kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 35ms
memory: 11960kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 35ms
memory: 11892kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 38ms
memory: 11940kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 31ms
memory: 11888kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 36ms
memory: 11820kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 33ms
memory: 11908kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 31ms
memory: 12020kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed