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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
#22376#2551. Math StringGeorge_Plover#AC ✓3ms3856kbC++201.3kb2022-03-09 16:39:052022-04-30 00:58:30

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-04-30 00:58:30]
  • 评测
  • 测评结果:AC
  • 用时:3ms
  • 内存:3856kb
  • [2022-03-09 16:39:05]
  • 提交

answer

#include <bits/stdc++.h>

#define N 7
#define M 998244353

struct matrix
{
    int v[N][N];

    matrix(bool d = false)
    {
        memset(v, 0, sizeof v);

        if (d)
            for (int i = 0; i < N; i++)
                v[i][i] = 1;
    }

    matrix operator*(const matrix &m) const
    {
        auto r = matrix();

        for (int i = 0; i < N; i++)
            for (int j = 0; j < N; j++)
                for (int k = 0; k < N; k++)
                    r.v[i][j] = (r.v[i][j] + (long long)v[i][k] * m.v[k][j] % M) % M;

        return r;
    }

    matrix operator^(long long e) const
    {
        auto r = matrix(true);

        for (auto m = *this; e; e >>= 1, m = m * m)
            if (e & 1)
                r = r * m;

        return r;
    }
} g;

long long n;

int main()
{
    scanf("%lld", &n);

    if (n == 1)
    {
        puts("45");
        return 0;
    }

    g.v[0][1] = g.v[0][3] = g.v[0][5] = 1;
    g.v[1][1] = 99; g.v[1][2] = M - 765;
    g.v[2][1] = 1;
    g.v[3][0] = g.v[3][3] = g.v[3][4] = 9;
    g.v[4][3] = 1;
    g.v[5][2] = g.v[5][5] = 9; g.v[5][6] = 18;
    g.v[6][5] = 1;
    g = g ^ (n - 1);

    int v[N] = {45, 4455, 45, 0, 0, 0, 0}, r = 0;
    for (int i = 0; i < N; i++)
        r = (r + (long long)g.v[0][i] * v[i] % M) % M;

    printf("%d\n", r);
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 3ms
memory: 3732kb

input:

1

output:

45

result:

ok answer is '45'

Test #2:

score: 0
Accepted
time: 3ms
memory: 3796kb

input:

3

output:

407430

result:

ok answer is '407430'

Test #3:

score: 0
Accepted
time: 3ms
memory: 3768kb

input:

1000000000000000000

output:

493565653

result:

ok answer is '493565653'

Test #4:

score: 0
Accepted
time: 3ms
memory: 3852kb

input:

999999999999999254

output:

963821656

result:

ok answer is '963821656'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3792kb

input:

2

output:

4455

result:

ok answer is '4455'

Test #6:

score: 0
Accepted
time: 3ms
memory: 3852kb

input:

999999999999999062

output:

256461144

result:

ok answer is '256461144'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

4

output:

36934785

result:

ok answer is '36934785'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

5

output:

350210541

result:

ok answer is '350210541'

Test #9:

score: 0
Accepted
time: 3ms
memory: 3812kb

input:

6

output:

427185456

result:

ok answer is '427185456'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3784kb

input:

7

output:

991901155

result:

ok answer is '991901155'

Test #11:

score: 0
Accepted
time: 3ms
memory: 3824kb

input:

8

output:

110899952

result:

ok answer is '110899952'

Test #12:

score: 0
Accepted
time: 3ms
memory: 3788kb

input:

9

output:

89411672

result:

ok answer is '89411672'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

10

output:

401287887

result:

ok answer is '401287887'

Test #14:

score: 0
Accepted
time: 3ms
memory: 3764kb

input:

172

output:

376377812

result:

ok answer is '376377812'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

238

output:

81946973

result:

ok answer is '81946973'

Test #16:

score: 0
Accepted
time: 3ms
memory: 3768kb

input:

730

output:

661959857

result:

ok answer is '661959857'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3812kb

input:

684

output:

828317367

result:

ok answer is '828317367'

Test #18:

score: 0
Accepted
time: 3ms
memory: 3784kb

input:

633

output:

673539741

result:

ok answer is '673539741'

Test #19:

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

input:

897

output:

159321465

result:

ok answer is '159321465'

Test #20:

score: 0
Accepted
time: 3ms
memory: 3720kb

input:

809

output:

521464595

result:

ok answer is '521464595'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

302

output:

92391482

result:

ok answer is '92391482'

Test #22:

score: 0
Accepted
time: 2ms
memory: 3804kb

input:

261

output:

854903269

result:

ok answer is '854903269'

Test #23:

score: 0
Accepted
time: 2ms
memory: 3792kb

input:

497

output:

594207939

result:

ok answer is '594207939'

Test #24:

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

input:

951

output:

927809758

result:

ok answer is '927809758'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3716kb

input:

980

output:

65372821

result:

ok answer is '65372821'

Test #26:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

1000

output:

971150090

result:

ok answer is '971150090'

Test #27:

score: 0
Accepted
time: 2ms
memory: 3744kb

input:

969

output:

511011493

result:

ok answer is '511011493'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3716kb

input:

998

output:

549357456

result:

ok answer is '549357456'

Test #29:

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

input:

98558

output:

245733611

result:

ok answer is '245733611'

Test #30:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

35873

output:

524107440

result:

ok answer is '524107440'

Test #31:

score: 0
Accepted
time: 3ms
memory: 3800kb

input:

3015

output:

928761172

result:

ok answer is '928761172'

Test #32:

score: 0
Accepted
time: 3ms
memory: 3768kb

input:

44398

output:

339084928

result:

ok answer is '339084928'

Test #33:

score: 0
Accepted
time: 3ms
memory: 3768kb

input:

82497

output:

273305194

result:

ok answer is '273305194'

Test #34:

score: 0
Accepted
time: 3ms
memory: 3692kb

input:

81678

output:

423439974

result:

ok answer is '423439974'

Test #35:

score: 0
Accepted
time: 3ms
memory: 3784kb

input:

95002

output:

868411966

result:

ok answer is '868411966'

Test #36:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

56392

output:

127537737

result:

ok answer is '127537737'

Test #37:

score: 0
Accepted
time: 3ms
memory: 3740kb

input:

49489

output:

841113901

result:

ok answer is '841113901'

Test #38:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

57109

output:

808819191

result:

ok answer is '808819191'

Test #39:

score: 0
Accepted
time: 3ms
memory: 3772kb

input:

99674

output:

890052301

result:

ok answer is '890052301'

Test #40:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

99513

output:

147223708

result:

ok answer is '147223708'

Test #41:

score: 0
Accepted
time: 2ms
memory: 3788kb

input:

99950

output:

638000302

result:

ok answer is '638000302'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

99939

output:

627100241

result:

ok answer is '627100241'

Test #43:

score: 0
Accepted
time: 2ms
memory: 3804kb

input:

99904

output:

768803875

result:

ok answer is '768803875'

Test #44:

score: 0
Accepted
time: 2ms
memory: 3796kb

input:

822981260158560519

output:

500129705

result:

ok answer is '500129705'

Test #45:

score: 0
Accepted
time: 1ms
memory: 3764kb

input:

28316250878314571

output:

954707612

result:

ok answer is '954707612'

Test #46:

score: 0
Accepted
time: 3ms
memory: 3780kb

input:

779547116602636424

output:

349022088

result:

ok answer is '349022088'

Test #47:

score: 0
Accepted
time: 3ms
memory: 3780kb

input:

578223540025879436

output:

310507001

result:

ok answer is '310507001'

Test #48:

score: 0
Accepted
time: 3ms
memory: 3736kb

input:

335408917862248766

output:

399860005

result:

ok answer is '399860005'

Test #49:

score: 0
Accepted
time: 3ms
memory: 3764kb

input:

74859962623990078

output:

905924996

result:

ok answer is '905924996'

Test #50:

score: 0
Accepted
time: 3ms
memory: 3856kb

input:

252509054434733439

output:

57677315

result:

ok answer is '57677315'

Test #51:

score: 0
Accepted
time: 3ms
memory: 3648kb

input:

760713016476890622

output:

840620988

result:

ok answer is '840620988'

Test #52:

score: 0
Accepted
time: 3ms
memory: 3772kb

input:

919845426262803496

output:

929606336

result:

ok answer is '929606336'

Test #53:

score: 0
Accepted
time: 2ms
memory: 3736kb

input:

585335723211847194

output:

975973040

result:

ok answer is '975973040'

Test #54:

score: 0
Accepted
time: 3ms
memory: 3692kb

input:

999999999999999478

output:

859690282

result:

ok answer is '859690282'

Test #55:

score: 0
Accepted
time: 3ms
memory: 3772kb

input:

999999999999999902

output:

879587490

result:

ok answer is '879587490'

Test #56:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

999999999999999168

output:

585232180

result:

ok answer is '585232180'