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 |
---|---|---|---|---|---|---|---|---|---|
#864186 | #9479. And DNA | xie_lzh | AC ✓ | 1ms | 3712kb | C++14 | 1.4kb | 2025-01-20 11:29:15 | 2025-01-20 11:29:15 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
// #define int long lno
const int N=2e5+5,mod=998244353;
long long n,m;
void add(int &x,int y){ (x+=y)>=mod?x-=mod:x=x; }
struct Matrix
{
int a[3][3];
int* operator [](int x){ return a[x]; }
void clear(){ memset(a,0,sizeof a); }
}B,F;
Matrix operator *(Matrix x,Matrix y)
{
Matrix res; res.clear();
for(int i=0;i<3;i++)
for(int j=0;j<3;j++)
for(int k=0;k<3;k++)
add(res[i][j],1ll*x[i][k]*y[k][j]%mod);
return res;
}
Matrix ksm(Matrix x,int k)
{
k--; Matrix res=x;
for(;k;k>>=1,x=x*x)
if(k&1) res=res*x;
return res;
}
int f[40][2];
int main()
{
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin>>n>>m;
B[0][1]=B[1][2]=B[1][0]=B[2][0]=1;
F.clear(); F[0][0]=1;
int w=0;
Matrix nx=F*ksm(B,n-1);
add(w,nx[0][1]+nx[0][2]);
F.clear(); F[0][1]=1;
nx=F*ksm(B,n-1);
add(w,nx[0][0]);
F.clear(); F[0][0]=1;
nx=F*ksm(B,n-2);
add(w,nx[0][1]);
if(m&1) f[0][0]=w;
else f[0][0]=f[0][1]=1;
for(int i=1;i<=32;i++)
{
if(m>>i&1)
{
f[i][0]=(1ll*f[i-1][0]*w%mod+f[i-1][1])%mod;
f[i][1]=f[i-1][1];
}
else
{
f[i][0]=f[i-1][0];
f[i][1]=(1ll*f[i-1][1]*w%mod+f[i-1][0])%mod;
}
}
cout<<f[32][0]<<'\n';
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3712kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed