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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#800982#9553. The HermitPepinotAC ✓31ms21064kbC++231.2kb2024-12-06 17:27:272024-12-06 17:27:28

Judging History

你现在查看的是最新测评结果

  • [2024-12-06 17:27:28]
  • 评测
  • 测评结果:AC
  • 用时:31ms
  • 内存:21064kb
  • [2024-12-06 17:27:27]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define int long long
const int mod=998244353;

const int N=1e5+5;
int fac[N],infac[N];

int quick_pow(int a, int k, int p)
{
    int res = 1;
    while (k)
    {
        if (k & 1) res = res * a % p;
        a = a * a % p;
        k >>= 1;
    }
    return res;
}

int C(int a,int b){
    if(b>a) return 0;
    return fac[a] * infac[b] % mod * infac[a - b] % mod;
}


void pre() {
    fac[0]=infac[0]=1;
    for(int i=1;i<=100000;i++)
    {
        fac[i]=fac[i-1]*i%mod;
        infac[i]=infac[i - 1] * quick_pow(i,mod-2,mod)%mod;
    }
}
int dp[101010][20],n,m;

signed main(){
    pre();
    cin>>n>>m;
    // jc[0]=ij[0]=1;
    // for(int i=1;i<=n;i++) {
    //     jc[i]=i*jc[i-1]%mod;
    //     ij[i]=qpow(jc[i],mod-2);
    // }

    int ans=C(n,m)*m%mod;

    for(int i=1;i<=n;i++){
        dp[i][1]++;
        for(int k=0;k<20;k++)
            if(dp[i][k])
                for(int j=i*2;j<=n;j+=i)
                    (dp[j][k+1]+=dp[i][k])%=mod;

        for(int k=1;k<20;k++)
            if(dp[i][k])
                (ans-=dp[i][k]*C(n/i-1,m-k)%mod)%=mod;
    }

    cout<<(ans+mod)%mod;
}

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: 12ms
memory: 5152kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 12ms
memory: 6112kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 26ms
memory: 20784kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 14ms
memory: 7560kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 26ms
memory: 20836kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 30ms
memory: 20996kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 27ms
memory: 20924kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 8ms
memory: 5816kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 12ms
memory: 5100kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 12ms
memory: 6712kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 12ms
memory: 6504kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 12ms
memory: 5924kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 12ms
memory: 6096kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 9ms
memory: 6052kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 13ms
memory: 7384kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 12ms
memory: 6708kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 12ms
memory: 6792kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 30ms
memory: 21052kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 19ms
memory: 11920kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 14ms
memory: 7620kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 8ms
memory: 6804kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 27ms
memory: 20936kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 25ms
memory: 20924kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 30ms
memory: 20992kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 14ms
memory: 8560kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 24ms
memory: 20904kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 31ms
memory: 20992kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 31ms
memory: 20872kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 29ms
memory: 20936kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 14ms
memory: 8156kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 27ms
memory: 21064kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 30ms
memory: 20876kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 22ms
memory: 20816kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 23ms
memory: 21052kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 22ms
memory: 21060kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 22ms
memory: 19940kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 28ms
memory: 20828kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 12ms
memory: 5224kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 12ms
memory: 5156kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 9ms
memory: 6624kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 12ms
memory: 6872kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 12ms
memory: 7136kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 12ms
memory: 6376kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 12ms
memory: 6836kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 12ms
memory: 6844kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 12ms
memory: 6796kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 20ms
memory: 17780kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 19ms
memory: 15472kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 23ms
memory: 17308kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 25ms
memory: 20996kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 27ms
memory: 20692kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 26ms
memory: 21060kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 26ms
memory: 20912kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed