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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
#883827#9553. The HermitNimi_SoraAC ✓1003ms37636kbC++231.1kb2025-02-05 19:14:502025-02-05 19:14:50

Judging History

This is the latest submission verdict.

  • [2025-02-05 19:14:50]
  • Judged
  • Verdict: AC
  • Time: 1003ms
  • Memory: 37636kb
  • [2025-02-05 19:14:50]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll N=1e5+7,mod=998244353;
using pii=pair<int,int>;
#define fi first
#define se second
#define all(x) (x).begin(),(x).end()
ll fact[N],dfact[N];
map<ll,ll>dp[N];
ll ksm(ll a,ll b){
    ll res=1;
    while(b){
        if(b&1)res=res*a%mod;
        b>>=1;a=a*a%mod;
    }
    return res%mod;
}
ll c(ll a,ll b){
    if(b<0||b>a)return 0;
    return fact[a]*dfact[b]%mod*dfact[a-b]%mod;
}
int main(){
    ios::sync_with_stdio(false);
    cin.tie(0),cout.tie(0);
    ll n,m;cin>>m>>n;
    fact[0]=1,fact[1]=1;
    for(ll i=1;i<=1e5;i++){
        fact[i]=fact[i-1]*i%mod;
    }
    for(int i=0;i<=1e5;i++){
        dfact[i]=ksm(fact[i],mod-2);
    }
    ll ans=n*c(m,n)%mod;

    for(int i=1;i<=m;i++)dp[1][i]=1;
    for(ll i=1;i<=n;i++){
        for(auto [x,y]:dp[i]){
//            cout<<ans<<'x';
            ans=((ans-y*c(m/x-1,n-i)%mod)%mod+mod)%mod;
            for(ll j=2;j*x<=m;j++){
                dp[i+1][j*x]=(dp[i+1][j*x]+dp[i][x])%mod;
            }
        }
    }
    cout<<ans<<'\n';


}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 13ms
memory: 9840kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 12ms
memory: 9860kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 1002ms
memory: 37576kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 60ms
memory: 12848kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 991ms
memory: 37504kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 351ms
memory: 22308kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 988ms
memory: 37548kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 14ms
memory: 9796kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 12ms
memory: 9880kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 12ms
memory: 9700kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 12ms
memory: 9880kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 11ms
memory: 9728kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 13ms
memory: 9600kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 14ms
memory: 10092kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 17ms
memory: 10192kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 16ms
memory: 10168kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 14ms
memory: 10072kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 982ms
memory: 37488kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 230ms
memory: 19188kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 65ms
memory: 13088kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 10ms
memory: 9864kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 1003ms
memory: 37524kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 976ms
memory: 37460kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 978ms
memory: 37636kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 53ms
memory: 12508kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 644ms
memory: 27972kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 814ms
memory: 31916kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 998ms
memory: 37620kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 995ms
memory: 37540kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 67ms
memory: 13316kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 979ms
memory: 37588kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 956ms
memory: 37552kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 970ms
memory: 37476kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 960ms
memory: 37560kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 986ms
memory: 37580kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 875ms
memory: 36004kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 879ms
memory: 35984kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 11ms
memory: 9936kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 12ms
memory: 9784kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 12ms
memory: 9844kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 11ms
memory: 9824kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 12ms
memory: 9844kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 12ms
memory: 9828kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 12ms
memory: 9984kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 13ms
memory: 9824kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 12ms
memory: 9876kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 605ms
memory: 29376kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 572ms
memory: 27792kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 544ms
memory: 27840kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 992ms
memory: 37560kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 983ms
memory: 37440kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 626ms
memory: 27972kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 982ms
memory: 37592kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed