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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#788169#9553. The Hermitfrankly6#AC ✓48ms35132kbC++171.9kb2024-11-27 16:06:322024-11-27 16:06:35

Judging History

你现在查看的是最新测评结果

  • [2024-11-27 16:06:35]
  • 评测
  • 测评结果:AC
  • 用时:48ms
  • 内存:35132kb
  • [2024-11-27 16:06:32]
  • 提交

answer

#include<iostream>
#include<cstdio>
#include<vector>
#include<queue>
#define int long long
using namespace std;
typedef long long ll;
const int p=998244353;
const int MX=100010;

int N, M, ans;
int fac[MX], invf[MX], dep[MX][20], in[MX];
vector<int> e[MX];
bool vis[MX];
int read()
{
    int r=0, f=1; char ch=getchar();
    while(ch<'0'||ch>'9') {if(ch=='-') f=-1; ch=getchar();}
    while(ch>='0'&&ch<='9') {r=r*10+ch-'0'; ch=getchar();}
    return r*f;
}
int qpow(int x, int pow)
{
    int ans=1;
    while(pow)
    {
        if(pow&1) ans=ans*x%p;
        x=x*x%p;
        pow>>=1;
    }
    return ans;
}
int inv(int x) {return qpow(x,p-2);}
int C(int n, int m)
{
    if(m<0) return 0;
    if(n==0&&m==0) return 1;
    if(m>n) return ll(0);
    else return fac[n]*invf[m]%p*invf[n-m]%p;
}
void norm()
{
    ans=(ans%p+p)%p;
}
queue<int> q;
void bfs()
{
    q.push(1);
    while(!q.empty())
    {
        int x=q.front(); q.pop();
        dep[x][1]=1;
        // cout << "x=" << x << '\n';
        for(int i=1;i<=18;i++)
        {
            // if(dep[x][i]) cout << "   dep[x][i]=" << dep[x][i] << '\n';
            ans-=dep[x][i]*C((M-x)/x,N-i)%p;
        }
        norm();        
        for(auto u:e[x])
        {
            in[u]--;
            for(int i=2;i<=20;i++)
                dep[u][i]+=dep[x][i-1];
            if(!in[u]) q.push(u);
        }
            
    }
    


}
signed main()
{
    // freopen("testdata.in","r",stdin);
    fac[0]=1;
    for(int i=1;i<=100000;i++) fac[i]=fac[i-1]*i%p;
    for(int i=0;i<=100000;i++) invf[i]=inv(fac[i]);
    M=read(); N=read();
    ans=C(M,N)*N%p;
    // cout << "ans=" << ans << '\n';
    for(int i=1;i<=M;i++)
    {
        for(int j=2*i;j<=M;j+=i)
        {
            in[j]++;
            e[i].emplace_back(j);
        }
    }
    bfs();
    norm();
    cout << ans << '\n';
    return (0-0);
}

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: 13ms
memory: 9716kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 13ms
memory: 11624kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 41ms
memory: 35028kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 16ms
memory: 12656kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 41ms
memory: 35112kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 42ms
memory: 35092kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 40ms
memory: 34888kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 13ms
memory: 11608kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 10ms
memory: 11492kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 13ms
memory: 9580kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 13ms
memory: 9572kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 13ms
memory: 9200kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 13ms
memory: 11832kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 13ms
memory: 11684kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 13ms
memory: 9480kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 13ms
memory: 9352kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 13ms
memory: 11900kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 45ms
memory: 34956kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 24ms
memory: 19056kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 12ms
memory: 12924kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 13ms
memory: 11620kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 45ms
memory: 35064kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 40ms
memory: 34952kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 41ms
memory: 35076kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 16ms
memory: 12036kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 42ms
memory: 34996kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 39ms
memory: 34876kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 41ms
memory: 35024kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 44ms
memory: 34964kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 13ms
memory: 14856kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 41ms
memory: 35032kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 43ms
memory: 35084kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 38ms
memory: 35028kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 45ms
memory: 35132kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 40ms
memory: 34892kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 39ms
memory: 34276kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 37ms
memory: 34224kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 10ms
memory: 9448kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 6ms
memory: 11628kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 13ms
memory: 9512kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 12ms
memory: 9768kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 8ms
memory: 9716kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 6ms
memory: 11596kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 13ms
memory: 11636kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 9ms
memory: 9564kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 6ms
memory: 11564kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 34ms
memory: 26920kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 24ms
memory: 26636kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 28ms
memory: 26688kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 44ms
memory: 35028kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 41ms
memory: 34912kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 48ms
memory: 34932kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 44ms
memory: 34832kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed