QOJ.ac

QOJ

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
#670553#9479. And DNAucup-team902#AC ✓0ms3936kbC++171.6kb2024-10-23 22:13:352024-10-23 22:13:37

Judging History

你现在查看的是最新测评结果

  • [2024-10-23 22:13:37]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3936kb
  • [2024-10-23 22:13:35]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
using ll=long long;
const int N=30;
const int mod=998244353;
int add(int x,int y){ return (x+=y)>=mod?x-mod:x; }
int sub(int x,int y){ return (x-=y)<0?x+mod:x; }
void red(int &x){ x+=x>>31&mod;}
int ksm(ll x,int tp,int s=1){
    for(;tp;x=x*x%mod,tp>>=1) if(tp&1) s=x*s%mod;
    return s;
}
int n,m;
struct Mt{
    int a[3][3];
    Mt(){ memset(a,0,sizeof a); }
    void getb(){
        Mt();
        a[0][2]=1;
        a[1][0]=1;
        a[2][0]=1; a[2][1]=1;
    }
}base;
int coe;
Mt operator * (Mt x,Mt y){
    Mt z;
    for(int i=0;i<3;i++)
        for(int j=0;j<3;j++)
            for(int k=0;k<3;k++)
                z.a[i][k]=(z.a[i][k]+1ll*x.a[i][j]*y.a[j][k])%mod;
    return z;
}
Mt ksm(Mt x,int tp){
    Mt s;
    for(int i=0;i<3;i++) s.a[i][i]=1;
    while(tp){
        if(tp&1) s=s*x;
        x=x*x;
        tp>>=1;
    }
    return s;
}
int f[35][2];
int main(){
    scanf("%d %d",&n,&m);
    base.getb();
    Mt res=ksm(base,n-1);
    coe=add(res.a[0][1],res.a[0][2]);
    res=ksm(base,n-2);
    coe=add(coe,add(res.a[0][2],res.a[0][0]));
    coe=add(coe,res.a[1][0]);
    f[0][0]=1;
    for(int i=1;i<=30;i++){
        int t=m>>(i-1)&1;
        if(t){
            f[i][0]=(f[i][0]+1ll*coe*f[i-1][0])%mod;
            f[i][0]=add(f[i][0],f[i-1][1]);
            f[i][1]=add(f[i][1],f[i-1][1]);
        }
        else{
            f[i][0]=add(f[i][0],f[i-1][0]);
            f[i][1]=add(f[i][1],f[i-1][0]);
            f[i][1]=(f[i][1]+1ll*coe*f[i-1][1])%mod;
        }
    }
    printf("%d\n",f[30][0]);
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3932kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3928kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3928kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3928kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3928kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3936kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3936kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3932kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3932kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3936kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3928kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed