QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#765005 | #9479. And DNA | AllenJYL | AC ✓ | 0ms | 3952kb | C++14 | 2.9kb | 2024-11-20 11:36:24 | 2024-11-20 11:36:26 |
Judging History
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;
}
Details
Tip: Click on the bar to expand more detailed information
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