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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#794364#9553. The HermitKafuuChinocpp#AC ✓18ms10236kbC++141.4kb2024-11-30 13:54:372024-11-30 13:54:38

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你现在查看的是最新测评结果

  • [2024-11-30 13:54:38]
  • 评测
  • 测评结果:AC
  • 用时:18ms
  • 内存:10236kb
  • [2024-11-30 13:54:37]
  • 提交

answer

#include <cstdio>
#include <algorithm>

using namespace std;

const int max1 = 1e5;
const int mod = 998244353;

int m, n;
int fac[max1 + 5], ifac[max1 + 5], ans;

int f[max1 + 5][20];

int C ( int n, int m )
{
    if ( n < 0 || m < 0 || n < m )
        return 0;
    return 1LL * fac[n] * ifac[n - m] % mod * ifac[m] % mod;
}

int main ()
{
    scanf("%d%d", &m, &n);

    fac[0] = 1;
    for ( int i = 1; i <= m; i ++ )
        fac[i] = 1LL * fac[i - 1] * i % mod;
    ifac[0] = ifac[1] = 1;
    for ( int i = 2; i <= m; i ++ )
        ifac[i] = 1LL * (mod - mod / i) * ifac[mod % i] % mod;
    for ( int i = 1; i <= m; i ++ )
        ifac[i] = 1LL * ifac[i - 1] * ifac[i] % mod;
    
    ans = 1LL * C(m, n) * n % mod;

    for ( int i = 1; i <= m; i ++ )
    {
        f[i][1] = 1;
        for ( int j = 1; j < 20; j ++ )
        {
            if ( f[i][j] )
            {
                for ( int k = 2; k * i <= m; k ++ )
                {
                    f[k * i][j + 1] = (f[k * i][j + 1] + f[i][j]) % mod;
                }
            }
        }
    }

    for ( int i = 1; i <= m; i ++ )
    {
        int cnt = m / i;

        for ( int k = 0; k <= min(cnt - 1, n - 1); k ++ )
            if ( n - k < 20 )
                ans = (ans - 1LL * C(cnt - 1, k) * f[i][n - k] % mod + mod) % mod;
    }

    printf("%d\n", ans);

    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: 0ms
memory: 1644kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 1632kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 12ms
memory: 10168kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 0ms
memory: 4560kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 8ms
memory: 10204kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 12ms
memory: 10236kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 14ms
memory: 10216kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 1544kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 1600kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 1616kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 1616kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 1572kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 1632kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 1704kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 0ms
memory: 1704kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 12ms
memory: 10224kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 5ms
memory: 4580kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 2ms
memory: 2720kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 1540kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 16ms
memory: 10120kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 12ms
memory: 10228kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 10ms
memory: 10224kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 1ms
memory: 2476kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 13ms
memory: 10216kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 12ms
memory: 10164kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 13ms
memory: 10224kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 13ms
memory: 10208kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 2ms
memory: 2788kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 13ms
memory: 10204kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 18ms
memory: 10184kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 13ms
memory: 10228kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 17ms
memory: 10208kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 10ms
memory: 10224kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 7ms
memory: 10200kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 15ms
memory: 9700kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 1616kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 1548kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 1640kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 1596kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 1596kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 1612kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 1560kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 5ms
memory: 7680kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 11ms
memory: 9156kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 7ms
memory: 8972kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 11ms
memory: 10132kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 7ms
memory: 10184kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 8ms
memory: 10208kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 8ms
memory: 10128kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed