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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#414724#2551. Math Stringgrass8cowAC ✓0ms3948kbC++17914b2024-05-19 15:56:082024-05-19 15:56:10

Judging History

你现在查看的是最新测评结果

  • [2024-05-19 15:56:10]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3948kb
  • [2024-05-19 15:56:08]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int mod=998244353,N=8;
struct qq{int a[N][N];}A,B;
qq operator * (const qq &a,const qq &b){
    qq c;memset(c.a,0,sizeof(c.a));
    for(int k=0;k<N;k++)for(int i=0;i<N;i++)for(int j=0;j<N;j++)
    (c.a[i][j]+=1ll*a.a[i][k]*b.a[k][j]%mod)%=mod;
    return c;
}
#define ll long long
ll n;
#define g(x,y) (x*3+y)
int main(){
    scanf("%lld",&n);
    //0:数字 1:+ 2:*
    //3:中间* 4:中间0 5:中间1
    //6:后符 7:后数字
    B.a[0][0]=9,B.a[0][1]=B.a[0][2]=1;
    B.a[1][0]=9,B.a[1][4]=9,B.a[1][5]=45;
    B.a[2][0]=9;
    B.a[3][4]=9,B.a[3][5]=45;
    B.a[4][4]=9,B.a[4][5]=45;
    B.a[5][3]=1,B.a[5][5]=90,B.a[5][6]=1;
    B.a[6][7]=9,B.a[7][7]=9,B.a[7][6]=2;
    for(int i=0;i<N;i++)A.a[i][i]=1;
    for(;n;n>>=1){
        if(n&1)A=A*B;
        B=B*B;
    }
    printf("%d\n",(A.a[1][5]+A.a[1][7])%mod);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3876kb

input:

1

output:

45

result:

ok answer is '45'

Test #2:

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

input:

3

output:

407430

result:

ok answer is '407430'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3948kb

input:

1000000000000000000

output:

493565653

result:

ok answer is '493565653'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

999999999999999254

output:

963821656

result:

ok answer is '963821656'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

2

output:

4455

result:

ok answer is '4455'

Test #6:

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

input:

999999999999999062

output:

256461144

result:

ok answer is '256461144'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

4

output:

36934785

result:

ok answer is '36934785'

Test #8:

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

input:

5

output:

350210541

result:

ok answer is '350210541'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

6

output:

427185456

result:

ok answer is '427185456'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

7

output:

991901155

result:

ok answer is '991901155'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

8

output:

110899952

result:

ok answer is '110899952'

Test #12:

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

input:

9

output:

89411672

result:

ok answer is '89411672'

Test #13:

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

input:

10

output:

401287887

result:

ok answer is '401287887'

Test #14:

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

input:

172

output:

376377812

result:

ok answer is '376377812'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

238

output:

81946973

result:

ok answer is '81946973'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

730

output:

661959857

result:

ok answer is '661959857'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

684

output:

828317367

result:

ok answer is '828317367'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

633

output:

673539741

result:

ok answer is '673539741'

Test #19:

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

input:

897

output:

159321465

result:

ok answer is '159321465'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

809

output:

521464595

result:

ok answer is '521464595'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

302

output:

92391482

result:

ok answer is '92391482'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

261

output:

854903269

result:

ok answer is '854903269'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

497

output:

594207939

result:

ok answer is '594207939'

Test #24:

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

input:

951

output:

927809758

result:

ok answer is '927809758'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

980

output:

65372821

result:

ok answer is '65372821'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

1000

output:

971150090

result:

ok answer is '971150090'

Test #27:

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

input:

969

output:

511011493

result:

ok answer is '511011493'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

998

output:

549357456

result:

ok answer is '549357456'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

98558

output:

245733611

result:

ok answer is '245733611'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

35873

output:

524107440

result:

ok answer is '524107440'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

3015

output:

928761172

result:

ok answer is '928761172'

Test #32:

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

input:

44398

output:

339084928

result:

ok answer is '339084928'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

82497

output:

273305194

result:

ok answer is '273305194'

Test #34:

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

input:

81678

output:

423439974

result:

ok answer is '423439974'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3944kb

input:

95002

output:

868411966

result:

ok answer is '868411966'

Test #36:

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

input:

56392

output:

127537737

result:

ok answer is '127537737'

Test #37:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

49489

output:

841113901

result:

ok answer is '841113901'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

57109

output:

808819191

result:

ok answer is '808819191'

Test #39:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

99674

output:

890052301

result:

ok answer is '890052301'

Test #40:

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

input:

99513

output:

147223708

result:

ok answer is '147223708'

Test #41:

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

input:

99950

output:

638000302

result:

ok answer is '638000302'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

99939

output:

627100241

result:

ok answer is '627100241'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

99904

output:

768803875

result:

ok answer is '768803875'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

822981260158560519

output:

500129705

result:

ok answer is '500129705'

Test #45:

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

input:

28316250878314571

output:

954707612

result:

ok answer is '954707612'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

779547116602636424

output:

349022088

result:

ok answer is '349022088'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

578223540025879436

output:

310507001

result:

ok answer is '310507001'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

335408917862248766

output:

399860005

result:

ok answer is '399860005'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

74859962623990078

output:

905924996

result:

ok answer is '905924996'

Test #50:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

252509054434733439

output:

57677315

result:

ok answer is '57677315'

Test #51:

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

input:

760713016476890622

output:

840620988

result:

ok answer is '840620988'

Test #52:

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

input:

919845426262803496

output:

929606336

result:

ok answer is '929606336'

Test #53:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

585335723211847194

output:

975973040

result:

ok answer is '975973040'

Test #54:

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

input:

999999999999999478

output:

859690282

result:

ok answer is '859690282'

Test #55:

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

input:

999999999999999902

output:

879587490

result:

ok answer is '879587490'

Test #56:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

999999999999999168

output:

585232180

result:

ok answer is '585232180'