QOJ.ac

QOJ

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
#764828#9479. And DNAforgotmyhandleAC ✓1ms3724kbC++142.2kb2024-11-20 10:52:002024-11-20 10:52:18

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 10:52:18]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3724kb
  • [2024-11-20 10:52:00]
  • 提交

answer

#include <iostream>
#include <string.h>
#include <cassert>
#include <map>
#define int long long
using namespace std;
const int P = 998244353;
struct Matrix {
    int a[4][4];
    Matrix() { memset(a, 0, sizeof a); }
    void ini(int x = 1) { for (int i = 0; i < 4; i++) for (int j = 0; j < 4; j++) a[i][j] = (i == j) * x; }
    int* operator[](int x) { return a[x]; }
} I, T;
Matrix operator*(Matrix a, Matrix b) {
    Matrix c;
    for (int i = 0; i < 4; i++) {
        for (int j = 0; j < 4; j++) {
            for (int k = 0; k < 4; k++) 
                c[i][j] += a[i][k] * b[k][j] % P;
            c[i][j] %= P;
        }
    }
    return c;
}
Matrix qpow(Matrix x, int y) {
    Matrix ret;
    ret.ini();
    while (y) {
        if (y & 1) 
            ret = ret * x;
        y >>= 1;
        x = x * x;
    }
    return ret;
}
int n, m;
int a[105];
int ans;
bool chk() {
    a[0] = a[n], a[n + 1] = a[1];
    bool ok = 1;
    for (int i = 1; i <= n; i++) ok &= (a[i] + (a[i - 1] & a[i + 1]) == m);
    if (ok) {
        for (int i = 1; i <= n; i++) cout << a[i] << " ";
        cout << "\n";
        // for (int i = 1; i <= n; i++) assert((a[i] & a[i - 1] & a[i + 1]) == 0);
    }
    return ok;
}
void dfs(int x) {
    if (x == n + 1) {
        ans += chk();
        return;
    }
    for (int i = 0; i <= m; i++) a[x] = i, dfs(x + 1);
}
int ans0;
map<int, int> mp;
int dfss(int x) {
    if (mp.count(x)) 
        return mp[x];
    if (x & 1) 
        return mp[x] = dfss(x >> 1) * ans0 % P;
    else 
        return mp[x] = (dfss(x >> 1) + dfss((x >> 1) - 1)) % P;
}
/*
010
011
101
110
*/
signed main() {
    cin >> n >> m;
    T[1][2] = T[1][3] = T[2][1] = T[3][2] = 1;
    I.ini(0); I[0][1] = 1; I = I * qpow(T, n - 2); ans0 += I[0][1] + I[0][3];
    // cout << ans0 << "\n";
    I.ini(0); I[0][2] = 1; I = I * qpow(T, n - 2); ans0 += I[0][1] + I[0][2];
    // cout << ans0 << "\n";
    I.ini(0); I[0][3] = 1; I = I * qpow(T, n - 2); ans0 += I[0][0] + I[0][2];
    ans0 %= P;
    // dfs(1);
    // cout << ans << "\n";
    // cout << ans0 << "\n";
    mp[0] = 1;
    cout << dfss(m) << "\n";
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3720kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

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

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

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

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

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

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

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

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

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

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

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

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

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

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

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

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

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

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

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

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

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

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

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

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

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

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed