QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#765516 | #9479. And DNA | chrhaa | AC ✓ | 1ms | 4104kb | C++14 | 1.7kb | 2024-11-20 14:30:57 | 2024-11-20 14:31:03 |
Judging History
answer
#define _CRT_SECURE_NO_WARNINGS 1
#include<stdio.h>
#include<unordered_map>
using namespace std;
const int N=200005;
#define ll long long
const ll P=998244353;
class Matrix{//0-index
public:
Matrix(){};
~Matrix(){};
Matrix(int h,int w):_height(h),_width(w){
for(int i=0,j;i<h;i++)
for(j=0;j<w;j++) _matrix[i][j]=0;
}
Matrix(int h,int w,int f):_height(h),_width(w){
for(int i=0,j;i<h;i++)
for(j=0;j<w;j++) _matrix[i][j]=0;
if(f) for(int i=0;i<h;i++)
_matrix[i][i]=f;
}
void resize(int h,int w,int f=0){
_height=h;
_width=w;
for(int i=0,j;i<h;i++)
for(j=0;j<w;j++) _matrix[i][j]=0;
if(f) for(int i=0;i<h;i++)
_matrix[i][i]=f;
}
inline int height(){
return _height;
}
inline int width(){
return _width;
}
inline ll* operator[](int x)
{return _matrix[x];}
private:
int _height,_width;
ll _matrix[4][4];
};
Matrix operator*(Matrix &x,Matrix &y){
int i,j,k,h=x.height(),w=y.width();
Matrix z(h,w);
for(k=0;k<x.width();k++)
for(i=0;i<h;i++) for(j=0;j<w;j++)
z[i][j]=(z[i][j]+x[i][k]*y[k][j])%P;
return z;
}
int n,m;
ll f;
Matrix m1,m2;
unordered_map<int,ll> dp;
ll DP(int x){
if(!x) return 1;
if(dp.count(x)) return dp[x];
ll res;
if(x&1) res=DP(x>>1)*f%P;
else res=(DP(x>>1)+DP((x>>1)-1))%P;
return dp[x]=res;
}
signed main(){
scanf("%d%d",&n,&m);
m1.resize(3,3);
m2.resize(3,3,1);
m1[0][1]=m1[0][2]=m1[1][0]=m1[2][1]=1;
while(n){
if(n&1) m2=m2*m1;
m1=m1*m1;
n>>=1;
}
f=1ll*(m2[0][0]+m2[1][1]+m2[2][2])%P;
printf("%lld\n",DP(m));
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3888kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 4104kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 4092kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 4060kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 4092kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed