QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#807277#9553. The Hermithjh123455AC ✓344ms57364kbC++232.4kb2024-12-09 20:45:562024-12-09 20:45:57

Judging History

你现在查看的是最新测评结果

  • [2024-12-09 20:45:57]
  • 评测
  • 测评结果:AC
  • 用时:344ms
  • 内存:57364kb
  • [2024-12-09 20:45:56]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int mod = 998244353;
int qmi(int a, int b)
{
    int res = 1;
    while (b)
    {
        if (b & 1)
            res = res * a % mod;
        b >>= 1;
        a = a * a % mod;
    }
    return res;
}
int prime[100010],cnt,phi[100010];
void euler(int n){
    for(int i=2;i<=n;i++){
        if(!phi[i]){
            prime[++cnt]=i;
            phi[i]=i;
        }
        for(int j=1;j<=cnt&&prime[j]<=n/i;j++){
            phi[i*prime[j]]=prime[j];
            if(i%prime[j]==0)break;
        }
    }
}
signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    euler(1e5);
    vector<int> f(1e5 + 10);
    vector<int> inv(1e5 + 10);
    f[0] = inv[0] = 1;
    for (int i = 1; i <= 1e5; i++)
        f[i] = f[i - 1] * i % mod;
    inv[(int)1e5] = qmi(f[(int)1e5], mod - 2);
    for(int i=1e5-1;i>=1;i--){
        inv[i]=inv[i+1]*(i+1)%mod;
    }
    int n, m;
    cin >> n >> m;
    auto c = [&](int a, int b) -> int
    {
        if (a < 0 || b < 0 || a < b)
            return 0;
        return f[a] * inv[b] % mod * inv[a - b] % mod;
    };
    vector<int> d(n + 1);
    vector<vector<int>>dp(n+1,vector<int>(60)); 
    for (int i = 1; i <= n; i++)
    {
        dp[i][1]=1;
        for (int j = 2*i; j <= n; j += i)
        {
            for(int k=2;k<=60;k++){
                dp[j][k]=(dp[j][k]+dp[i][k-1])%mod;
            }
        }
    }
    int ans = 0;
    for (int i = 1; i <= n; i++)
    {
        int tmp=0;
        for(int j=1;j<=60;j++){
            tmp=(tmp+dp[i][j]*c(n/i-1,m-j)%mod)%mod;
            ans=(ans+dp[i][j]*c(n/i-1,m-j)%mod)%mod;
        }
    }
    ans=(m*c(n,m)%mod-ans)%mod;
    ans = (ans % mod + mod) % mod;
    cout << ans << '\n';
    // vector<int>cnt(12);
    // for(int i=0;i<(1<<n);i++){
    //     vector<int>tmp;
    //     for(int j=0;j<n;j++){
    //         if(i>>j&1){
    //             tmp.push_back(j+1);
    //         }
    //     }
    //     if(tmp.size()!=m)continue;
    //     vector<int>gcd(tmp.size());
    //     gcd[tmp.size()-1]=tmp.back();
    //     for(int i=tmp.size()-2;i>=0;i--){
    //         gcd[i]=__gcd(gcd[i+1],tmp[i]);
    //     }
    //     for(int i=0;i<(int)tmp.size();i++){
    //         if(tmp[i]==gcd[i]){
    //             cnt[tmp[i]]++;
    //         }
    //         else break;
    //     }
    // }
}

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: 3ms
memory: 5340kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 3ms
memory: 5520kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 324ms
memory: 57248kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 15ms
memory: 11708kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 323ms
memory: 57172kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 305ms
memory: 57088kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 320ms
memory: 57200kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 3ms
memory: 5308kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 5528kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 3ms
memory: 5476kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 5556kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 3ms
memory: 5500kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 5676kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 4ms
memory: 5968kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 2ms
memory: 6484kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 4ms
memory: 5944kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 4ms
memory: 5956kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 328ms
memory: 57248kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 88ms
memory: 23388kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 13ms
memory: 12160kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 3ms
memory: 5556kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 316ms
memory: 57172kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 327ms
memory: 57184kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 315ms
memory: 57156kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 15ms
memory: 10712kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 332ms
memory: 57364kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 329ms
memory: 57160kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 325ms
memory: 57312kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 310ms
memory: 57092kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 16ms
memory: 12504kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 338ms
memory: 57164kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 324ms
memory: 57248kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 340ms
memory: 57320kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 331ms
memory: 57160kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 318ms
memory: 57120kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 304ms
memory: 54000kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 311ms
memory: 54068kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 3ms
memory: 5416kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 3ms
memory: 5288kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 3ms
memory: 5288kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 3ms
memory: 5576kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 3ms
memory: 5504kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 3ms
memory: 5444kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 3ms
memory: 5524kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 3ms
memory: 5468kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 3ms
memory: 5292kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 228ms
memory: 42332kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 199ms
memory: 39216kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 208ms
memory: 39404kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 326ms
memory: 56892kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 344ms
memory: 57064kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 332ms
memory: 56956kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 332ms
memory: 57180kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed