QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#670553 | #9479. And DNA | ucup-team902# | AC ✓ | 0ms | 3936kb | C++17 | 1.6kb | 2024-10-23 22:13:35 | 2024-10-23 22:13:37 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
const int N=30;
const int mod=998244353;
int add(int x,int y){ return (x+=y)>=mod?x-mod:x; }
int sub(int x,int y){ return (x-=y)<0?x+mod:x; }
void red(int &x){ x+=x>>31&mod;}
int ksm(ll x,int tp,int s=1){
for(;tp;x=x*x%mod,tp>>=1) if(tp&1) s=x*s%mod;
return s;
}
int n,m;
struct Mt{
int a[3][3];
Mt(){ memset(a,0,sizeof a); }
void getb(){
Mt();
a[0][2]=1;
a[1][0]=1;
a[2][0]=1; a[2][1]=1;
}
}base;
int coe;
Mt operator * (Mt x,Mt y){
Mt 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][k]=(z.a[i][k]+1ll*x.a[i][j]*y.a[j][k])%mod;
return z;
}
Mt ksm(Mt x,int tp){
Mt s;
for(int i=0;i<3;i++) s.a[i][i]=1;
while(tp){
if(tp&1) s=s*x;
x=x*x;
tp>>=1;
}
return s;
}
int f[35][2];
int main(){
scanf("%d %d",&n,&m);
base.getb();
Mt res=ksm(base,n-1);
coe=add(res.a[0][1],res.a[0][2]);
res=ksm(base,n-2);
coe=add(coe,add(res.a[0][2],res.a[0][0]));
coe=add(coe,res.a[1][0]);
f[0][0]=1;
for(int i=1;i<=30;i++){
int t=m>>(i-1)&1;
if(t){
f[i][0]=(f[i][0]+1ll*coe*f[i-1][0])%mod;
f[i][0]=add(f[i][0],f[i-1][1]);
f[i][1]=add(f[i][1],f[i-1][1]);
}
else{
f[i][0]=add(f[i][0],f[i-1][0]);
f[i][1]=add(f[i][1],f[i-1][0]);
f[i][1]=(f[i][1]+1ll*coe*f[i-1][1])%mod;
}
}
printf("%d\n",f[30][0]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3932kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3936kb
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: 3864kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed