QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#659322 | #9479. And DNA | ucup-team5318# | AC ✓ | 0ms | 3964kb | C++14 | 1.3kb | 2024-10-19 19:37:06 | 2024-10-19 19:37:07 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N=5,M=2e5+5,K=35,mod=998244353;
int n,m;
struct Mat{
int a[N][N];
Mat(int p=0){memset(a,0,sizeof(a));if(p)for(int i=0;i<3;i++)a[i][i]=1;}
friend Mat operator*(const Mat&x,const Mat&y) {
Mat z;
for(int i=0;i<3;i++)for(int j=0;j<3;j++)for(int k=0;k<3;k++)
z.a[i][j]=(z.a[i][j]+1ll*x.a[i][k]*y.a[k][j])%mod;
return z;
}
};
Mat qp(Mat a,int b){Mat ans(1);for(;b;b>>=1,a=a*a)if(b&1)ans=ans*a;return ans;}
int f[M][3],g[M][3],h[M][3];
int dp[K][2],V,dp1[K][2];
int main()
{
// freopen(".in","r",stdin);
// freopen(".out","w",stdout);
scanf("%d %d",&n,&m);
Mat temp(0),st(0);
temp.a[2][0]=1,temp.a[0][1]=1,temp.a[0][2]=temp.a[1][2]=1;
st.a[0][2]=1;
st=st*qp(temp,n-2);
V=(st.a[0][2]+st.a[0][0])%mod;
st=Mat(0);
st.a[0][1]=1;
st=st*qp(temp,n-2);
V=(V+st.a[0][2])%mod;
st=Mat(0);
st.a[0][2]=1;
st=st*qp(temp,n-1);
V=(1ll*V+st.a[0][0]+st.a[0][1])%mod;
if(m&1)dp[0][0]=V,dp1[0][0]=1;else dp[0][1]=1,dp[0][0]=1,dp1[0][1]=1,dp1[0][0]=1;
for(int i=0;i<31;i++)for(int j=0;j<2;j++)if(dp[i][j])
{
for(int k=0;k<3;k++)if((j+k)%2==((m>>i+1)&1))
{
dp[i+1][(j+k)/2]=(dp[i+1][(j+k)/2]+1ll*((k==1)?V:1)*dp[i][j])%mod;
}
}
printf("%d\n",dp[31][0]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3880kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3876kb
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: 3848kb
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: 3744kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3964kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed