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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
#768339#9479. And DNAHuasushisAC ✓1ms3748kbC++171.8kb2024-11-21 09:28:462024-11-21 09:28:46

Judging History

你现在查看的是最新测评结果

  • [2024-11-21 09:28:46]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3748kb
  • [2024-11-21 09:28:46]
  • 提交

answer

#include <bits/stdc++.h>
char buf[5000000], *p1, *p2;
#define nc() (p1==p2&&(p2=(p1=buf)+fread(buf,1,5000000,stdin),p1==p2)?EOF:*p1++)
template<typename T>
inline void read_s(T& x) {x=0;bool f=0;int ch;while(!isdigit(ch=nc()))f|=ch=='-';do{x=x*10+(ch^48);}while(isdigit(ch=nc()));f&&(x=-x);}
template<typename... Args>
void read(Args& ...args) {
  (read_s(args), ...);
}
#define mod 998244353ll
using ll = long long;
void add(ll& x, ll y) {
  x += y - mod;
  x += (x >> 63) & mod;
}
struct matrix {
  ll a[3][3];
  ll* operator[] (int x) {return a[x];}
  const ll* operator[] (int x) const {return a[x];}
  static matrix geti() {
    matrix res{};
    for (int i = 0; i < 3; ++i) res[i][i] = 1;
    return res;
  }
  matrix operator* (const matrix& b) const {
    matrix res{};
    for (int i = 0; i < 3; ++i) {
      for (int k = 0; k < 3; ++k) {
        for (int j = 0; j < 3; ++j) {
          add(res[i][j], a[i][k] * b[k][j] % mod);
        }
      }
    }
    return res;
  }
};
matrix qp(matrix a, ll y) {
  matrix res = matrix::geti();
  while (y) {
    if (y & 1) res = res * a;
    a = a * a;
    y >>= 1;
  }
  return res;
}
ll w(int n) {
  matrix base{
    0, 1, 1,
    1, 0, 0,
    0, 1, 0,
  };
  auto res = qp(base, n - 3);
  ll ans = (3 * res[0][0] + 2 * res[0][1]) % mod;
  return ans;
}
int n, m;
ll f[31][2];
int main() {
  std::cin.tie(nullptr) -> sync_with_stdio(false);
  read(n, m);
  ll v = w(n);
  f[0][0] = 1;
  for (int i = 1; i <= 30; ++i) {
    if ((m >> (i - 1)) & 1) {
      f[i][0] = f[i - 1][1];
      add(f[i][0], f[i - 1][0] * v % mod);
      f[i][1] = f[i - 1][1];
    } else {
      f[i][0] = f[i - 1][0];
      f[i][1] = f[i - 1][0];
      add(f[i][1], f[i - 1][1] * v % mod);
    }
  }
  std::cout << f[30][0] << '\n';
  return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3748kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

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

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

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

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

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

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

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

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed