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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#658834#9479. And DNAucup-team296#AC ✓4ms3860kbC++202.3kb2024-10-19 17:43:312024-10-19 17:43:31

Judging History

你现在查看的是最新测评结果

  • [2024-10-19 17:43:31]
  • 评测
  • 测评结果:AC
  • 用时:4ms
  • 内存:3860kb
  • [2024-10-19 17:43:31]
  • 提交

answer

#include <bits/stdc++.h>
#define long long long int
#define DEBUG
using namespace std;

// @author: pashka

int mod = 998244353;

struct mint {
    int value = 0;

    constexpr mint() : value() {}

    mint(const long &x) {
        value = normalize(x);
    }

    static long normalize(const long &x) {
        long v = x % mod;
        if (v < 0) v += mod;
        return v;
    }

    bool operator==(const mint &x) { return value == x.value; };

    mint operator+(const mint &x) { return value + x.value; };

    mint operator-(const mint &x) { return value - x.value; };

    mint operator*(const mint &x) { return (long) value * x.value; };

    void operator+=(const mint &x) { value = normalize(value + x.value); };

    void operator-=(const mint &x) { value = normalize(value - x.value); };
};

mint t;

mint solve(int m) {
    if (m == 0) {
        return 1;
    }
    if (m % 2 == 0) {
        return solve(m / 2) + solve(m / 2 - 1);
    } else {
        return t * solve(m / 2);
    }
}

typedef vector<vector<mint>> mat;

mat mult(mat a, mat b) {
    mat c(3, vector<mint>(3));
    for (int i = 0; i < 3; i++) {
        for (int j = 0; j < 3; j++) {
            for (int k = 0; k < 3; k++) {
                c[i][j] += a[i][k] * b[k][j];
            }
        }
    }
    return c;
}

mat pow(mat a, int n) {
    mat res = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
    while (n > 0) {
        if (n % 2 == 1) {
            res = mult(res, a);
        }
        a = mult(a, a);
        n /= 2;
    }
    return res;
}

mint calc(int n) {
    mat a = {{0, 1, 0}, {0, 0, 1}, {1, 1, 0}};
    a = pow(a, n);
    return a[0][0] + a[0][2];
}


int main() {
    ios::sync_with_stdio(false);

//    mat a = {{0, 1, 0}, {0, 0, 1}, {1, 1, 0}};
//    mat aa = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
//    for (int i = 0; i < 5; i++) {
//        aa = mult(aa, a);
//        for (auto t : aa) {
//            for (auto x : t) {
//                cout << x.value;
//            }
//            cout << "\n";
//        }
//        cout << "\n";
//    }


    int n, m;
    cin >> n >> m;

    t = calc(n) + calc(n - 2) + calc(n - 3) * 2;
//    cout << t.value << "\n";

    cout << solve(m).value << "\n";

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3428kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

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

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 4ms
memory: 3600kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 2ms
memory: 3656kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 4ms
memory: 3860kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3856kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 2ms
memory: 3840kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 3ms
memory: 3652kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 1ms
memory: 3544kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 1ms
memory: 3576kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 3ms
memory: 3552kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

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

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 1ms
memory: 3600kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3488kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed