QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#768429 | #9479. And DNA | luozijin | AC ✓ | 0ms | 3708kb | C++14 | 1.4kb | 2024-11-21 10:26:55 | 2024-11-21 10:26:56 |
Judging History
answer
#include<bits/stdc++.h>
#define mod 998244353
using namespace std;
const int K=51;
int n,m,W,len,dp[K][2];
struct ppp{int ma[3][3];
ppp() {memset(ma,0,sizeof(ma));}
};ppp operator * (const ppp &a,const ppp &b){
ppp c;
for(int i=0;i<3;i++){
for(int j=0;j<3;j++){
for(int k=0;k<3;k++){
c.ma[i][j]=(c.ma[i][j]+1ll*a.ma[i][k]*b.ma[k][j]%mod)%mod;
}
}
}return c;
}ppp quickpow(ppp u,int v){
ppp res;
res.ma[0][0]=res.ma[1][1]=res.ma[2][2]=1;
while(v){
if(v&1) res=res*u;
u=u*u;
v>>=1;
}return res;
}int read(){char a=getchar();int res=0,f=1;while(!isdigit(a)) {if(a=='-') f=-1;a=getchar();}while(isdigit(a)) res=(res<<3)+(res<<1)+a-'0',a=getchar();return res*f;}
const int KK=22;int sta2[KK],tooot;
void write(int a,bool l){if(a<0) putchar('-'),a=-a;do{sta2[++tooot]=a%10;a/=10;}while(a);while(tooot) putchar(sta2[tooot]+'0'),tooot--;if(l) putchar(10);else putchar(32);}
int main(){
n=read();m=read();
ppp res,cheng;res.ma[0][0]=3;res.ma[1][0]=2;
cheng.ma[0][1]=cheng.ma[0][2]=cheng.ma[1][0]=cheng.ma[2][1]=1;
res=quickpow(cheng,n-3)*res;
W=res.ma[0][0];
if(m&1) dp[0][0]=W;
else dp[0][0]=1,dp[0][1]=1;
for(int j=1;(1<<j)<=m;j++){len=j;
if((1<<j)&m){
dp[j][0]=(dp[j-1][1]+1ll*dp[j-1][0]*W%mod)%mod;
dp[j][1]=dp[j-1][1];
}else{
dp[j][0]=dp[j-1][0];
dp[j][1]=(dp[j-1][0]+1ll*dp[j-1][1]*W%mod)%mod;
}
}write(dp[len][0],1);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3576kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed