QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#766218 | #9479. And DNA | qsc114 | AC ✓ | 8ms | 3844kb | C++11 | 1.0kb | 2024-11-20 16:37:25 | 2024-11-20 16:37:29 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int MOD=998244353;
#define ll long long
ll n,m;
unordered_map<int,ll> mp;
struct mtx
{
ll a[3][3];
void init()
{
memset(a,0,sizeof a);
for(int i=0;i<3;i++)
a[i][i]=1;
}
};
mtx operator*(mtx a,mtx b)
{
mtx ans;memset(ans.a,0,sizeof ans.a);
for(int i=0;i<3;i++)
for(int j=0;j<3;j++)
for(int k=0;k<3;k++)
ans.a[i][j]+=a.a[i][k]*b.a[k][j]%MOD;
for(int i:{0,1,2})
for(int j:{0,1,2})
ans.a[i][j]%=MOD;
return ans;
}
mtx qpow(mtx a,ll b)
{
mtx ans;ans.init();
while(b)
{
if(b&1)ans=ans*a;
a=a*a;b>>=1;
}
return ans;
}
ll calc(ll m)
{
if(!m)return 1;
if(mp[m])return mp[m];
if(!(m^1))
{
mtx res;
ll a[3][3]={{0,1,0},{1,0,1},{1,0,0}};
for(int i:{0,1,2})for(int j:{0,1,2})
res.a[i][j]=a[i][j];
res=qpow(res,n);
mp[m]+=res.a[0][0]+res.a[1][1]+res.a[2][2];
return mp[m]%=MOD;
}
if(m%2==0)return (calc(m/2)+calc(m/2-1))%MOD;
return calc(1)*calc((m-1)/2)%MOD;
}
int main()
{
cin>>n>>m;
cout<<calc(m);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
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: 3644kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 2ms
memory: 3836kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 2ms
memory: 3612kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 8ms
memory: 3616kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 4ms
memory: 3544kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 8ms
memory: 3548kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3548kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 2ms
memory: 3608kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 3ms
memory: 3836kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 2ms
memory: 3840kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 5ms
memory: 3612kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 2ms
memory: 3808kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 8ms
memory: 3616kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 2ms
memory: 3616kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 7ms
memory: 3764kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 4ms
memory: 3556kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 4ms
memory: 3844kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 4ms
memory: 3768kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 3ms
memory: 3612kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed