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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
#791778#9553. The Hermithhu_yjhAC ✓904ms24644kbC++202.0kb2024-11-28 20:50:142024-11-28 20:50:17

Judging History

你现在查看的是最新测评结果

  • [2024-11-28 20:50:17]
  • 评测
  • 测评结果:AC
  • 用时:904ms
  • 内存:24644kb
  • [2024-11-28 20:50:14]
  • 提交

answer

#include <bits/stdc++.h>
#define dbg() cout<<"-------"
typedef  long long ll;
using namespace std;
typedef pair<int,int> PII;
typedef unsigned long long ull;
const int N=2e6+10;
const int mod=998244353;
ll n,m;
ll dp[N][20];
ll fact[N];
ll qmi(ll x,ll y,ll mod){
    ll res=1,t=x%mod;
    while(y){
        if(y&1) res=res*t%mod;
        t=t*t%mod;
        y>>=1;
    }
    return res;
}
ll c(int n,int m){
    if(m>n) return 0;
    return fact[n]*qmi(fact[m],mod-2,mod)%mod*qmi(fact[n-m],mod-2,mod)%mod;
    //return fact[n]*qmi(fact[m]*fact[n-m]%mod,mod-2,mod)%mod;
}
void solve(){
    cin>>m>>n;
    fact[0]=1;for(int i=1;i<=m;i++) fact[i]=fact[i-1]*i%mod;
    //cout<<c(3,0)<<'\n';
   //  cout<<"*****"<<'\n';
    for(int i=1;i<=m;i++) dp[i][1]=1;

    for(int len=1;len<=17;len++){
        for(int i=1;i<=m;i++){
            for(int j=2*i;j<=m;j+=i){
                dp[j][len+1]+=dp[i][len];
                dp[j][len+1]%=mod;
            }
        }
    }
   // cout<<dp[1][1]<<' '<<dp[1][2]<<'\n';
 //   cout<<"..."<<'\n';
    
    ll ans=0;
    for(int i=1;i<=m;i++){
        int cnt=m/i-1;
        ans+=(c(m-i,n-1)-c(cnt,n-1))*n%mod;
        //cout<<i<<"..."<<ans<<'\n';
        ans%=mod;
    }
    //cout<<ans<<'\n';
  //  exit(0);
  //ans=0;/////////////////
    for(int g=1;g<=m;g++){
        for(int len=1;len<=min(17ll,n-1);len++){
            if(!dp[g][len]) break;
            for(int t=2*g;t<=m;t+=g){
                int cnt=m/g-t/g;
                int cnt2=m/t-1;
                ans+=(c(cnt,n-len-1)-c(cnt2,n-len-1))%mod*dp[g][len]%mod*(n-len)%mod;
                // if((c(cnt,n-len-1)-c(cnt2,n-len-1))*dp[g][len]%mod*(n-len)%mod){
                //     cout<<g<<' '<<len<<" "<<t<<'\n';
                // }
                ans%=mod;
            }
        }
      //  cout<<g<<"..."<<ans<<'\n';
    }
    cout<<((ans%mod)+mod)%mod<<'\n';



}
int main(){
    
    ios::sync_with_stdio(false);
    cin.tie(0);
    int t;
    //cin>>t;
    t=1;
    while(t--){
        solve();
    }
} 

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 5568kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 86ms
memory: 24620kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 14ms
memory: 7848kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 171ms
memory: 24404kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 110ms
memory: 22708kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 782ms
memory: 24324kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5752kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5672kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5708kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 2ms
memory: 5708kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 96ms
memory: 24352kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 43ms
memory: 12104kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 70ms
memory: 7896kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 5708kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 183ms
memory: 22924kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 90ms
memory: 22776kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 97ms
memory: 20808kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 57ms
memory: 7744kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 599ms
memory: 22780kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 904ms
memory: 24644kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 86ms
memory: 20748kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 86ms
memory: 22920kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 11ms
memory: 7832kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 756ms
memory: 22680kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 762ms
memory: 20868kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 753ms
memory: 22848kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 749ms
memory: 20752kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 86ms
memory: 20868kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 84ms
memory: 20704kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 83ms
memory: 20780kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 5708kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1ms
memory: 5748kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 5608kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 5624kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 85ms
memory: 16420kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 461ms
memory: 16388kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 461ms
memory: 16388kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 435ms
memory: 22864kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 438ms
memory: 20784kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 593ms
memory: 22796kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 113ms
memory: 20744kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed