QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#753719#9553. The Hermitucup-team4508#AC ✓27ms5280kbC++142.5kb2024-11-16 13:30:482024-11-16 13:30:51

Judging History

你现在查看的是测评时间为 2024-11-16 13:30:51 的历史记录

  • [2024-11-18 19:45:40]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:27ms
  • 内存:5220kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 13:30:51]
  • 评测
  • 测评结果:100
  • 用时:27ms
  • 内存:5280kb
  • [2024-11-16 13:30:48]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

using ui = unsigned;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
#define rep(i,l,r) for(int i=(l);i<=(r);++i)
#define per(i,l,r) for(int i=(l);i>=(r);--i)
#define repn(i,n) for(int i=0;i<(n);++i)
#define sizc(x) ((int)(x).size())
#define allc(x) (x).begin(),(x).end()
#define fir first
#define sec second

template <ui mod>
class modint{
    ui val;
    static constexpr ui rd(ui x){return x<mod?x:x-mod;}
    public:
    modint(ll x=0){val=rd(x%mod+mod);}
    ui get()const{return val;}
    bool operator==(modint o)const{return val==o.val;}
    bool operator!=(modint o)const{return val!=o.val;}
    modint operator-()const{return mod-val;}
    modint &operator+=(modint o){val=rd(val+o.val);return *this;}
    modint &operator-=(modint o){val=rd(val+mod-o.val);return *this;}
    modint &operator*=(modint o){val=(ull)val*o.val%mod;return *this;}
    modint &operator/=(modint o){return *this*=o.inv();}
    modint &operator^=(ull o){modint res=1,x=*this;while(o){if(o&1)res*=x;x*=x;o>>=1;}return *this=res;}
    friend modint operator+(modint a,modint b){return a+=b;}
    friend modint operator-(modint a,modint b){return a-=b;}
    friend modint operator*(modint a,modint b){return a*=b;}
    friend modint operator/(modint a,modint b){return a/=b;}
    friend modint operator^(modint a,ull b){return a^=b;}
    modint &operator++(){return *this+=1;}
    modint &operator--(){return *this-=1;}
    modint operator++(int){modint ret=*this;++*this;return ret;}
    modint operator--(int){modint ret=*this;--*this;return ret;}
    friend istream &operator>>(istream &is,modint &a){return is>>a.val;}
    friend ostream &operator<<(ostream &os,modint a){return os<<a.val;}
    modint inv()const{return *this^mod-2;}
};
using Z=modint<998244353>;

constexpr int N = 1e5+5;

int n,m;

Z fac[N],invf[N];
void init(int n){
    fac[0]=1;rep(i,1,n)fac[i]=fac[i-1]*i;
    invf[n]=1/fac[n];per(i,n,1)invf[i-1]=invf[i]*i;
}
Z C(int n,int m){
    if(m<0||m>n)return 0;
    return fac[n]*invf[m]*invf[n-m];
}
Z f[N],g[N];

signed main(){
	// freopen(".in","r",stdin);
	// freopen(".out","w",stdout);
	ios::sync_with_stdio(false);
	cin.tie(nullptr);

    cin>>n>>m;
    init(n);
    Z ans=C(n,m)*m;
    rep(i,1,n)f[i]=1;
    rep(i,1,18){
        rep(j,1,n){
            ans-=f[j]*C(n/j-1,m-i);
        }
        rep(j,1,n)g[j]=0;
        rep(j,1,n)rep(k,2,n/j)g[j*k]+=f[j];
        rep(j,1,n)f[j]=g[j];
    }
    cout<<ans<<'\n';
}

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: 1ms
memory: 5208kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5212kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 26ms
memory: 5148kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 3ms
memory: 5204kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 26ms
memory: 5152kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 26ms
memory: 5164kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 27ms
memory: 5220kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 5144kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5260kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5148kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5268kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5240kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5208kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 1ms
memory: 5280kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 1ms
memory: 5236kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 5144kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 0ms
memory: 5140kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 26ms
memory: 5208kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 8ms
memory: 5220kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 3ms
memory: 5144kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 1ms
memory: 5276kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 26ms
memory: 5272kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 26ms
memory: 5272kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 22ms
memory: 5144kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 3ms
memory: 5172kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 22ms
memory: 5208kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 26ms
memory: 5140kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 26ms
memory: 5148kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 26ms
memory: 5144kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 3ms
memory: 5136kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 23ms
memory: 5220kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 27ms
memory: 5152kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 27ms
memory: 5140kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 27ms
memory: 5272kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 26ms
memory: 5156kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 24ms
memory: 5204kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 21ms
memory: 5228kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 5140kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 1ms
memory: 5220kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1ms
memory: 5204kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 1ms
memory: 5204kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 5220kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 5204kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 1ms
memory: 5156kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 5144kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 5216kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 18ms
memory: 5144kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 17ms
memory: 5208kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 17ms
memory: 5152kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 22ms
memory: 5224kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 26ms
memory: 5260kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 26ms
memory: 5152kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 26ms
memory: 5148kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed