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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#764479 | #9479. And DNA | L_Wave | AC ✓ | 0ms | 3972kb | C++20 | 1.8kb | 2024-11-20 09:19:48 | 2024-11-20 09:19:53 |
Judging History
answer
// Problem: # 9479. And DNA
// Author: XZC(L_Wave)
// Language: Cpp/G++20
// Contest:
// URL: https://qoj.ac/problem/9479
// Memory Limit: 1024 MB
// Time Limit: 1000 ms
// Create Time: not 2024-11-20 09:10:32, but 1926-08-17 11:45:14
//
// Powered by CP Editor (https://cpeditor.org)
#include <bits/stdc++.h>
#define rep(i, a, b) for (int i = (a), i##ABRACADABRA = (b); i <= i##ABRACADABRA; i++)
#define drep(i, a, b) for (int i = (a), i##ABRACADABRA = (b); i >= i##ABRACADABRA; i--)
using namespace std;
using ll = long long;
constexpr ll mod=998244353;
constexpr int N=3;
struct mat{
ll a[N][N];
mat(int _ty=0){_ty?idm():clr();}
void clr(){memset(a,0,sizeof(a));}
void idm(){clr();rep(i,0,N-1)a[i][i]=1;}
void dbg()const{
cout<<"-----------------------\n";
rep(i,0,N-1)rep(j,0,N-1)cout<<a[i][j]<<" \n"[j==N-1];
cout<<"-----------------------\n";
}
ll&g(int x,int y){return a[x][y];}
ll g(int x,int y)const{return a[x][y];}
friend mat operator*(mat x,mat y){
mat z;
rep(i,0,N-1)rep(k,0,N-1)rep(j,0,N-1)
(z.a[i][j]+=1ll*x.a[i][k]*y.a[k][j]%mod)%=mod;
return z;
}
friend mat operator^(mat x,ll y){
mat z;
z.idm();
// 在矩阵无法得到合适的单位矩阵(如特定 (min,+) 矩阵等)时
// 可以 --y,z=x,然后像正常一样做(y=0 不适用)
for (;y;y>>=1){
if (y&1)z=z*x;
x=x*x;
}
return z;
}
}A;
int n,m;
map<int,ll>res;
ll solve(int m){
// cout<<m<<endl;
if (res.count(m))return res[m];
return res[m]=(m&1?res[1]*solve(m>>1):solve(m>>1)+solve((m>>1)-1))%mod;
}
int main() {
scanf("%d%d",&n,&m);
A.g(0,1)=1;
A.g(0,2)=1;
A.g(1,0)=1;
A.g(2,1)=1;
A=A^n;
res[0]=1;
res[1]=(A.g(0,0)+A.g(1,1)+A.g(2,2))%mod;
printf("%lld\n",solve(m));
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3924kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3900kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3968kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3972kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3896kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed