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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#753187#9553. The Hermitucup-team5296#AC ✓179ms28224kbC++202.9kb2024-11-16 11:41:402024-11-18 19:45:05

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:45:05]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:179ms
  • 内存:28224kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 11:41:41]
  • 评测
  • 测评结果:100
  • 用时:179ms
  • 内存:28112kb
  • [2024-11-16 11:41:40]
  • 提交

answer

#include<bits/stdc++.h>
#define ll long long
#define eb emplace_back
#define ep emplace
#define pii pair<int,int>
#define fi first
#define se second
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define mems(arr,x) memset(arr,x,sizeof(arr))
#define memc(arr1,arr2) memcpy(arr1,arr2,sizeof(arr2))
using namespace std;
const int maxn=4e5+10,mod=998244353;
int n,m;
int dp[22][maxn];  // dp[i][j] 表示前 i 个数最后一个是 j 的方案数
int f[22][maxn];
namespace FastMod{
    inline void madd(int &x,int y){x+=y;(x>=mod)&&(x-=mod);}
    inline void mdel(int &x,int y){x-=y;(x<0)&&(x+=mod);}
    inline void mmul(int &x,int y){x=1ll*x*y%mod;}
    inline int imadd(int x,int y){madd(x,y);return x;}
    inline int imdel(int x,int y){mdel(x,y);return x;}
    inline int immul(int x,int y){mmul(x,y);return x;}
    inline int qpow(int x,int y){int res=1;while(y){if(y&1) res=1ll*res*x%mod;x=1ll*x*x%mod;y>>=1;}return res;}
}
using namespace FastMod;
int mu[maxn];bool ispri[maxn];
int fac[maxn],inv[maxn];
vector<int> pri;
void init(){
    int N=max(n,m);
    fac[0]=1;
    for(int i=1;i<=N;i++)   fac[i]=immul(fac[i-1],i);
    inv[N]=qpow(fac[N],mod-2);
    for(int i=N-1;~i;i--) inv[i]=immul(inv[i+1],i+1);
    mems(ispri,1);
    mu[1]=1;
    for(int i=2;i<=N;i++){
        if(ispri[i]){pri.eb(i);mu[i]=-1;}
        for(int j:pri){
            if(i*j>n)  break;
            ispri[i*j]=false;
            if(i%j==0)  mu[i*j]=0;
            else mu[i*j]=mu[i]*mu[j];
            if(i%j==0)  break;
        }
    }
}
inline int C(int x,int y){return x<y?0:1ll*fac[x]*inv[y]%mod*inv[x-y]%mod;}
int ans=0;
int main(){
    scanf("%d%d",&n,&m);
    init();
    for(int i=1;i<=n;i++)   dp[1][i]=1;
    for(int i=2;i<=min(20,m-1);i++)
        for(int j=1;j<=n;j++)
            for(int k=j+j;k<=n;k+=j) madd(dp[i][k],dp[i-1][j]);
    for(int l=m;l>=m-20-1&&l;l--){
        for(int i=1;i<=n;i++){  // l 个数 gcd=i 的方案数
            for(int j=i;j<=n;j+=i){
                if(!mu[j/i])  continue;
                if(mu[j/i]==1)    madd(f[m-l][i],C(n/j,l));
                else    mdel(f[m-l][i],C(n/j,l));
            }
            // printf("%d %d %d\n",l,i,f[m-l][i]);
        }
    }
    {
        int res=C(n,m);
        for(int y=1;y<=n;y++){
            // int cnt=1ll*dp[i][x];
            // madd(ans,immul(cnt,m-i));
            mdel(res,C(n/y-1,m-1));
        }
        // printf("0 %d\n",res);
        madd(ans,immul(res,m));
    }
    for(int i=1;i<=min(20,m-1);i++){
        for(int x=1;x<=n;x++){
            int res=C(n/x-1,m-i);
            for(int y=x+x;y<=n;y+=x){
                // int cnt=1ll*dp[i][x];
                // madd(ans,immul(cnt,m-i));
                mdel(res,C(n/y-1,m-i-1));
            }
            // printf("%d %d : %d %d\n",i,x,dp[i][x],res);
            madd(ans,immul(dp[i][x],immul(res,m-i)));
        }
    }
    printf("%d\n",ans);
}

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: 0ms
memory: 10008kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 9892kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 177ms
memory: 26536kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 12ms
memory: 9948kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 179ms
memory: 26572kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 7ms
memory: 12540kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 133ms
memory: 21148kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 2ms
memory: 10004kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 10024kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 7988kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 1ms
memory: 8036kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 7924kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 1ms
memory: 8128kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 3ms
memory: 10252kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 4ms
memory: 10400kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 3ms
memory: 10324kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 2ms
memory: 8264kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 168ms
memory: 26360kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 46ms
memory: 15620kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 4ms
memory: 11144kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 10056kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 168ms
memory: 26240kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 176ms
memory: 26480kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 171ms
memory: 26528kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 9ms
memory: 10908kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 14ms
memory: 11272kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 26ms
memory: 13464kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 168ms
memory: 26272kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 164ms
memory: 26320kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 11ms
memory: 12268kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 147ms
memory: 23112kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 136ms
memory: 22364kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 151ms
memory: 22988kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 155ms
memory: 23928kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 172ms
memory: 28224kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 160ms
memory: 25704kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 165ms
memory: 25644kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 2ms
memory: 9896kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 9988kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 10068kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 2ms
memory: 9992kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 2ms
memory: 9880kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 2ms
memory: 10004kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 10060kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 7980kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 7996kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 119ms
memory: 19696kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 88ms
memory: 20264kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 93ms
memory: 18684kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 163ms
memory: 26188kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 174ms
memory: 26524kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 21ms
memory: 11204kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 167ms
memory: 24544kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed