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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#766058 | #9479. And DNA | ktq_cpp | AC ✓ | 1ms | 4116kb | C++14 | 1.5kb | 2024-11-20 16:03:19 | 2024-11-20 16:03:19 |
Judging History
answer
/*
https://qoj.ac/problem/9479
*/
#include<bits/stdc++.h>
#define ll long long
#define pb push_back
#define mpr make_pair
#define rep(i,n) for(int i=1;i<=n;i++)
#define repe(i,l,r) for(int i=l;i<=r;i++)
#define FOR(i,r,l) for(int i=r;i>=l;i--)
#define pii pair<int,int>
#define ALL(v) v.begin(),v.end()
using namespace std;
void chkmax(int& x,int y){x=x>y? x:y;}
void chkmin(int& x,int y){x=x>y? y:x;}
int n,m;
const int P=998244353;
unordered_map<int,int> ans;
struct Matrix{
int a[3][3],n,m;
Matrix(){
memset(a,0,sizeof(a));
n=m=0;
}
}A,B;
Matrix operator*(Matrix a,Matrix b){
Matrix c;
c.n=a.n,c.m=b.m;
for(int i=0;i<c.n;i++){
for(int j=0;j<c.m;j++){
c.a[i][j]=0;
for(int k=0;k<a.m;k++){
(c.a[i][j]+=1ll*a.a[i][k]*b.a[k][j]%P)%=P;
}
}
}
return c;
}
Matrix fast(Matrix a,int b){
Matrix res;
res.n=res.m=3;
res.a[0][0]=res.a[1][1]=res.a[2][2]=1;
while(b){
if(b&1)res=res*a;
b>>=1;
a=a*a;
}
return res;
}
int dfs(int m){
if(ans.find(m)!=ans.end())return ans[m];
if(m&1)return ans[m]=1ll*dfs((m-1)/2)*dfs(1)%P;
else return ans[m]=(dfs(m/2)+dfs(m/2-1))%P;
}
signed main(){
scanf("%d %d",&n,&m);
ans[0]=1;
B.n=3,B.m=3;
B.a[0][1]=1,B.a[2][1]=1,B.a[2][0]=1,B.a[1][2]=1;
A.a[0][0]=A.a[0][1]=A.a[0][2]=1;
/*
11->10
01->10
01->11
10->01
11:0
10:1
01:2
*/
A.n=1,A.m=3;
B=fast(B,n);
for(int i=0;i<3;i++){
ans[1]+=B.a[i][i];ans[1]%=P;
}
printf("%d\n",dfs(m));
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3804kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 4092kb
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: 3800kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 4092kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 4088kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 4056kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3772kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 4104kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 4116kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 1ms
memory: 4068kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3836kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed