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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#692999#9479. And DNAForever_Young#AC ✓2ms3960kbC++201.6kb2024-10-31 15:21:062024-10-31 15:21:13

Judging History

你现在查看的是最新测评结果

  • [2024-10-31 15:21:13]
  • 评测
  • 测评结果:AC
  • 用时:2ms
  • 内存:3960kb
  • [2024-10-31 15:21:06]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

const int MOD = 998244353;
class Matrix {
 public:
  int n, m;
  int v[4][4];
  Matrix(int _n = 0, int _m = 0) : n(_n), m(_m) {
    for (int i = 1; i <= n; i++) {
      for (int j = 1; j <= m; j++) {
        v[i][j] = 0;
      }
    }
  }
  friend Matrix operator*(const Matrix& a, const Matrix& b) {
    assert(a.m == b.n);
    Matrix res(a.n, b.m);
    for (int i = 1; i <= a.n; i++) {
      for (int k = 1; k <= a.m; k++) {
        for (int j = 1; j <= b.m; j++) {
          res.v[i][j] = (res.v[i][j] + 1LL * a.v[i][k] * b.v[k][j]) % MOD;
        }
      }
    }
    return res;
  }
};

Matrix qpow(Matrix a, int b) {
  Matrix res(a.n, a.m);
  assert(a.n == a.m);
  for (int i = 1; i <= a.n; i++) {
    res.v[i][i] = 1;
  }
  while (b) {
    if (b & 1) {
      res = res * a;
    }
    a = a * a;
    b >>= 1;
  }
  return res;
}

int n, m;
int o;

map<int, int> ret;

int solve(int m) {
  if (m == 0) {
    return 1;
  }
  if (m == 1) {
    return o;
  }
  if (ret.find(m) != ret.end()) {
    return ret[m];
  }
  if (m % 2 == 0) {
    return ret[m] = (solve(m / 2) + solve(m / 2 - 1)) % MOD;
  }
  return ret[m] = 1LL * solve(m / 2) * o % MOD;
}

int main() {
  scanf("%d%d", &n, &m);
  n -= 2;
  Matrix trans(3, 3);
  trans.v[1][3] = 1;
  trans.v[2][1] = 1;
  trans.v[2][3] = 1;
  trans.v[3][2] = 1;
  trans = qpow(trans, n - 1);
  Matrix init(1, 3);
  init.v[1][1] = 3;
  init.v[1][2] = 2;
  init.v[1][3] = 5;
  init = init * trans;
  o = init.v[1][1];
  printf("%d\n", solve(m));
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3900kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3896kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3904kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3896kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

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

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3960kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 2ms
memory: 3892kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3948kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3948kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3912kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3904kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

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

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

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

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3956kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 1ms
memory: 3888kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 1ms
memory: 3948kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 1ms
memory: 3952kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 1ms
memory: 3888kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 1ms
memory: 3888kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 1ms
memory: 3828kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 1ms
memory: 3912kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed