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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
#699053#9479. And DNAwangjinghengAC ✓1ms3752kbC++201.8kb2024-11-02 00:10:492024-11-02 00:10:50

Judging History

你现在查看的是最新测评结果

  • [2024-11-02 00:10:50]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3752kb
  • [2024-11-02 00:10:49]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
#define ll long long
using namespace std;
const int N=3e5+10,mod=998244353,maxn=5;

struct ahaha{
    ll a[maxn][maxn];     //一定要用long long存矩阵,否则在过程中会爆掉
    ahaha(){
        memset(a,0,sizeof a);
    }
    inline void build(){     //建造单位矩阵
        for(int i=1;i<=3;++i)a[i][i]=1;
    }
}a;
ahaha operator *(const ahaha &x,const ahaha &y){     //重载运算符
    ahaha z;
    for(int k=1;k<=3;++k)
        for(int i=1;i<=3;++i)
            for(int j=1;j<=3;++j)
                z.a[i][j]=(z.a[i][j]+x.a[i][k]*y.a[k][j]%mod)%mod;
    return z;
}

ll k;
inline void init(){
    for(int i=1;i<=3;i++){
        for(int j=1;j<=3;j++) a.a[i][j]=0;
    }
        a.a[1][2]=a.a[1][3]=a.a[2][1]=a.a[3][2]=1;
}
map<int,int> f;

int qpow(int x,int y){
    int res=1;
    while(y){
        if(y&1ll) res=res*x%mod;
        x=x*x%mod;
        y>>=1ll;
    }
    return res;
}
void dfs(int x){
    if(f[x]) return;
    if(x%2==0){
        dfs(x/2);dfs(x/2-1);
        f[x]=(f[x/2]+f[x/2-1])%mod;
    }
    else{
        dfs(x/2);
        f[x]=f[1]*f[x/2]%mod;
    }
    return;
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
    int n,m;cin>>n>>m;
    init();
    k=n-2;
    ahaha ans;ans.build();
    do{     //递推快速幂,与普通的递推快速幂无异,但*不能缩写为*=
        if(k&1)ans=ans*a;
        a=a*a;k>>=1;
    }while(k);
    int fin=0;
    for(int i=1;i<=3;i++){
        for(int j=1;j<=3;j++){
            fin=(fin+ans.a[i][j])%mod;
        } 
    }
    fin=(fin-ans.a[1][2]+mod)%mod;
    fin=(fin-ans.a[3][3]+mod)%mod;
    fin=(fin-ans.a[2][3]+mod)%mod;
    fin=(fin-ans.a[3][1]+mod)%mod;
    f[1]=fin;f[0]=1;
    dfs(m);
    cout<<f[m];
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3600kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

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

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

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

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

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

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

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

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

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

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

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

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

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

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

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

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

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

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

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

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

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

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

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

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

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

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

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

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

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

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: 3616kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

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

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

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

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed