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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#759419#9553. The Hermitship2077AC ✓17ms12940kbC++231.1kb2024-11-18 08:03:072024-11-18 19:52:21

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:52:21]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:17ms
  • 内存:12940kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-18 08:03:07]
  • 评测
  • 测评结果:100
  • 用时:15ms
  • 内存:12932kb
  • [2024-11-18 08:03:07]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
constexpr int M=1e5+5,mod=998244353;
int n,m,ans,len[M],fac[M],ifac[M],dp[M][20];
int read(){
    int x=0;char ch=getchar();
    while (!isdigit(ch)) ch=getchar();
    while (isdigit(ch)) x=x*10+ch-48,ch=getchar();
    return x;
}
int qpow(int x,int n){
    int s=1; while (n){
        if (n&1) s=1ll*s*x%mod;
        x=1ll*x*x%mod; n>>=1;
    } return s;
}
int c(int n,int m){return n<m||m<0?0:1ll*fac[n]*ifac[m]%mod*ifac[n-m]%mod;}
int rdc(int x){return x>=mod?x-mod:x;}
int main(){
    m=read();n=read();
    for (int i=fac[0]=1;i<=m;i++) fac[i]=1ll*fac[i-1]*i%mod;
    ifac[m]=qpow(fac[m],mod-2);
    for (int i=m;i;i--) ifac[i-1]=1ll*ifac[i]*i%mod;
    for (int i=1;i<=m;i++) dp[i][1]=len[i]=1;
    for (int i=1;i<=m;i++)
        for (int j=i<<1;j<=m;j+=i){
            len[j]=max(len[j],len[i]+1);
            for (int k=2;k<=len[j];k++)
                dp[j][k]=rdc(dp[j][k]+dp[i][k-1]);
        }
    for (int i=1;i<=m;i++)
        for (int j=1;j<=len[i];j++)
            ans=(ans+1ll*c(m/i-1,n-j)*dp[i][j])%mod;
    printf("%lld\n",(1ll*c(m,n)*n+mod-ans)%mod);
    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: 3812kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 11ms
memory: 12820kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 1ms
memory: 4832kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 11ms
memory: 12756kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 15ms
memory: 12808kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 15ms
memory: 12756kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 5952kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5908kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5848kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 1ms
memory: 6008kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3972kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 1ms
memory: 6028kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 1ms
memory: 4076kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 7992kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 1ms
memory: 5916kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 7ms
memory: 12832kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 2ms
memory: 7280kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 2ms
memory: 8668kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 1ms
memory: 5852kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 13ms
memory: 12824kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 17ms
memory: 12784kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 12ms
memory: 12748kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 1ms
memory: 4688kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 13ms
memory: 12868kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 17ms
memory: 12940kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 12ms
memory: 12828kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 11ms
memory: 12820kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 2ms
memory: 8164kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 15ms
memory: 12764kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 15ms
memory: 12932kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 9ms
memory: 12748kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 9ms
memory: 12832kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 10ms
memory: 12756kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 13ms
memory: 12700kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 16ms
memory: 12816kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 5824kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1ms
memory: 6004kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 5908kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 5844kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 3904kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 1ms
memory: 5952kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 5900kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 10ms
memory: 11764kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 5ms
memory: 12660kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 9ms
memory: 9864kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 11ms
memory: 12764kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 15ms
memory: 12832kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 15ms
memory: 12800kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 17ms
memory: 12800kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed