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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#706309#9479. And DNABalintR#AC ✓0ms3744kbC++202.0kb2024-11-03 10:17:062024-11-03 10:17:07

Judging History

你现在查看的是最新测评结果

  • [2024-11-03 10:17:07]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3744kb
  • [2024-11-03 10:17:06]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<pii> vpii;
#define pb push_back
#define fs first
#define sn second
#define ms(a, x) memset(a, x, sizeof(a))
#define SZ(v) ((int) (v).size())
#define ALL(v) begin(v), end(v)
const int INF = 0x3f3f3f3f;
#define FR(i, n) for(int i = 0; i < (n); i++)
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define FORR(i, a, b) for(int i = (a); i >= (b); i--)
#define dbg(x){cerr << #x << ' ' << (x) << endl;}
#define dbgArr(arr, n){cerr << #arr; FR(_i, n) cerr << ' ' << (arr)[_i]; cerr << endl;}
template <class T, class U>
ostream& operator<<(ostream &os, pair<T, U> p){return os << "(" << p.fs << ", " << p.sn << ")";}

const int MOD = 998244353;
const int MN = 3;

typedef array<array<int, MN>, MN> Mat;

ostream& operator<<(ostream &os, Mat mat){
    os << '\n';
    FR(i, MN) FR(j, MN) os << mat[i][j] << " \n"[j == MN-1];
    return os;
}

Mat operator*(const Mat &a, const Mat &b){
    Mat res = {};
    FR(i, MN) FR(j, MN) FR(k, MN) res[i][k] = (res[i][k] + (ll) a[i][j]*b[j][k]) % MOD;
    return res;
}

Mat operator-(const Mat &a, const Mat &b){
    Mat res = {};
    FR(i, MN) FR(j, MN){
        res[i][j] = a[i][j] - b[i][j];
        if(res[i][j] < 0) res[i][j] += MOD;
    }
    return res;
}

ll h(ll n) {
    Mat a{{{0,1,1},{1,0,0},{0,1,0}}};
    Mat c{{{1,0,0},{1,0,0},{0,0,0}}};
    for (; n > 0; n /= 2) {
        if (n % 2) {
            c = a * c;
        }
        a = a * a;
    }
    return c[2][0];
}

map<ll, ll> mf;

ll f(ll m, ll g){
    if (mf.count(m)) return mf[m];
    if (m % 2) {
        return mf[m] = g*f((m-1)/2, g)%MOD;
    } else {
        return mf[m] = (f(m/2,g)+f(m/2-1,g)) % MOD;
    }
}

ll g(ll n) {
    if (n == 3) return 3;
    return (h(n-1)+h(n-3)+2*h(n-4)) % MOD;
}

int main(){
    cin.sync_with_stdio(0); cin.tie(0);

    mf[0] = 1;
    ll n,m; cin>>n>>m;
    cout << f(m,g(n)) << "\n";
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3608kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

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

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

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

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

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

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

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

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

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

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: 3740kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

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

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

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

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: 3744kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

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

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

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

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

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

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

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

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

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

input:

4 0

output:

1

result:

ok "1"

Test #27:

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

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

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

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

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

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed