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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
#765976#9479. And DNARyan123AC ✓0ms3916kbC++141.1kb2024-11-20 15:50:462024-11-20 15:50:51

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 15:50:51]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3916kb
  • [2024-11-20 15:50:46]
  • 提交

answer

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

const int Mod = 998244353;
typedef long long LL;

struct Matrix{
    int a[3][3];

    void init(){
        memset(a, 0, sizeof(a));
    }

    Matrix operator* (Matrix &w){
        static Matrix c;
        c.init();
        for(int i = 0; i < 3; i ++){
            for(int j = 0; j < 3; j ++){
                for(int k = 0; k < 3; k ++){
                    c.a[i][j] = (c.a[i][j] + 1ll * a[i][k] * w.a[k][j]) % Mod;
                }
            }
        }

        return c;
    }
};

Matrix qpow(Matrix a, int k){
    Matrix ans = a;
    k --;
    while(k){
        if(k & 1)ans = ans * a;
        k >>= 1;
        a = a * a;
    }

    return ans;
}

Matrix g = {{{0, 1, 1}, {1, 0, 0}, {0, 1, 0}}};

int ans;

map<int, int> f;

int dp(int x){
    if(x == 0)return 1;
    else if(x == 1)return ans;
    if(f.count(x))return f[x];

    if(x & 1)return f[x] = 1ll * ans * dp(x / 2) % Mod;
    else return f[x] = (dp(x / 2) + dp(x / 2 - 1)) % Mod;
}

int main(){
    int n, m;
    scanf("%d%d", &n, &m);

    Matrix T = qpow(g, n);
    ans = ((LL)T.a[0][0] + T.a[1][1] + T.a[2][2]) % Mod;

    printf("%d\n", dp(m));
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3712kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

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

input:

3 0

output:

1

result:

ok "1"

Test #3:

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

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: 3800kb

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: 0ms
memory: 3664kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

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

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

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

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

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

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

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

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

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

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

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

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

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

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

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

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

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

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

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

input:

4 1

output:

2

result:

ok "2"

Test #28:

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

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed