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
#765005#9479. And DNAAllenJYLAC ✓0ms3952kbC++142.9kb2024-11-20 11:36:242024-11-20 11:36:26

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 11:36:26]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3952kb
  • [2024-11-20 11:36:24]
  • 提交

answer

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

// #define int long long
#define ls (p<<1)
#define rs (p<<1|1)
#define mid ((l+r)>>1)
#define all(_array) (_array).begin(),(_array).end()
#define msp(_array) memset(_array,0x3f,sizeof _array)
#define ms0(_array) memset(_array,0,sizeof _array)
#define msn(_array) memset(_array,-1,sizeof _array)
#define mc(_tar,_array) memcpy(_tar,_array,sizeof _tar)
#define Yes cout<<"Yes"<<endl
#define No cout<<"No"<<endl
#define YES cout<<"YES"<<endl
#define NO cout<<"NO"<<endl
#define TAK cout<<"TAK"<<endl
#define NIE cout<<"NIE"<<endl
#define OK cerr<<"OK"<<endl
#define pii pair<int,int>
#define endl '\n'

bool bg_memory;
mt19937 rnd(time(0));
int Case=1;
const int mod=998244353;
const int inf=2147483647;
const int bs=233;
const double eps=1e-6;
const int N=1e5+7,M=1e5+7;

template<class _t1,class _t2>inline void cmax(_t1 &a,_t2 b){a=a<b?b:a;}
template<class _t1,class _t2>inline void cmin(_t1 &a,_t2 b){a=a>b?b:a;}

inline int sqrt(int x,int r){int l=0,ans=0;while(l<=r){if(1ll*mid*mid<=x) ans=mid,l=mid+1;else r=mid-1;}return ans;}

int n,m;
struct mtx{
    int a[4][4];
    int*operator[](int x){return a[x];}
    mtx(int x=0){ms0(a);if(x)for(int i=1;i<=3;i++)a[i][i]=1;}
}g;
int pla;
// int dp[N][4];
// void solve(int a){
//     dp[2][a]=1;
//     for(int i=3;i<=n+2;i++){
//         dp[i][1]=dp[i-1][2];
//         dp[i][2]=dp[i-1][1]+dp[i-1][3];
//         dp[i][3]=dp[i-1][1];
//     }
// }
mtx operator*(mtx a,mtx b){
    mtx ans=0;
    for(int i=1;i<=3;i++){
        for(int j=1;j<=3;j++){
            for(int k=1;k<=3;k++){
                (ans[i][j]+=1ll*a[i][k]*b[k][j]%mod)%=mod;
            }
        }
    }
    return ans;
}
unordered_map<int,int> ump;
inline mtx qp(mtx a,int b,int p=mod){mtx res=1;while(b){if(b&1)res=res*a;a=a*a;b>>=1;}return res;}
inline int solve(int m){
    if(ump.count(m)) return ump[m];
    if(m==0) return ump[m]=1;
    if(m&1) return ump[m]=1ll*solve(m>>1)*pla%mod;
    return ump[m]=(solve(m>>1)+solve((m>>1)-1))%mod;
}

void Main(){
    
    cin>>n>>m;
    g[2][1]=g[1][2]=g[3][2]=g[1][3]=1;
    g=qp(g,n);
    for(int i=1;i<=3;i++) (pla+=g[i][i])%=mod;
    cout<<solve(m)<<endl;

    return;
}
string RdFile="";
bool en_memory;

signed main(){
    auto bg_clock=chrono::high_resolution_clock::now();
#ifdef ONLINE_JUDGE
    // freopen((RdFile+".in").c_str(),"r",stdin);
    // freopen((RdFile+".out").c_str(),"w",stdout);
#endif
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    // cin>>Case;
    while(Case--) Main();
    auto en_clock=chrono::high_resolution_clock::now();
    auto duration_clock=chrono::duration_cast<chrono::microseconds>(en_clock-bg_clock);
    double duration_count=duration_clock.count()*0.001;
    double memory_used=(&en_memory-&bg_memory)/1024.0/1024;
    // cerr<<"Time:"<<duration_count<<"ms"<<endl;
    // cerr<<"Memory: "<<memory_used<<"MB"<<endl;
    return 0;
}

详细

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: 3696kb

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: 3664kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

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

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3948kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3952kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

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

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

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

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

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

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

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

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

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

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

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

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

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

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

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

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

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

input:

4 0

output:

1

result:

ok "1"

Test #27:

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

input:

4 1

output:

2

result:

ok "2"

Test #28:

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

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

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

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3928kb

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