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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#659066 | #9479. And DNA | ucup-team3510# | AC ✓ | 2ms | 3812kb | C++14 | 1.3kb | 2024-10-19 18:27:14 | 2024-10-19 18:27:17 |
Judging History
answer
#include<iostream>
#include<cstring>
using namespace std;
const int mod=998244353;
struct matrix
{
int a[4][4],r,c;
matrix(){memset(a,0,sizeof(a));r=c=0;}
matrix(int _r,int _c){r=_r;c=_c;memset(a,0,sizeof(a));}
};
matrix operator*(matrix a,matrix b)
{
matrix c(a.r,b.c);
for(int i=0;i<a.r;++i)
{
for(int j=0;j<b.c;++j)
{
__int128 tt=0;
for(int k=0;k<a.c;++k)
{
tt+=1ll*a.a[i][k]*b.a[k][j];
}
c.a[i][j]=tt%mod;
}
}
return c;
}
matrix qpow(matrix bs,int ex)
{
matrix ans(bs.r,bs.c);
for(int i=0;i<bs.r;++i)ans.a[i][i]=1;
while(ex)
{
if(ex&1)ans=ans*bs;
bs=bs*bs;ex>>=1;
}
return ans;
}
int n,m,ans;
int solve(int m)
{
if(!m)
{
return 1;
}
if(m&1)
{
return (long long)
ans*solve(m>>1)%mod;
}
return (solve(m>>1)+solve((m>>1)-1))%mod;
}
matrix M(4,4);
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin>>n>>m;
for(int i=0;i<4;i++)
{
for(int j=0;j<2;j++)
{
if(((i>>1)&j)^(i&1))
{
M.a[((i&1)<<1)|j][i]++;
}
}
}
M=qpow(M,n-2);
for(int i=0;i<4;i++)
{
for(int j=0;j<4;j++)
{
bool t1=i>>1,t2=i&1,t3=j>>1,t4=j&1;
if(((t1&t3)^t2)&&((t2&t4)^t3))
{
ans=(ans+M.a[i][j])%mod;
}
}
}
cout<<solve(m)<<endl;
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3516kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3440kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3528kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3488kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3516kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 2ms
memory: 3720kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3532kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3452kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3628kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3716kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 1ms
memory: 3444kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 2ms
memory: 3440kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3440kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 2ms
memory: 3812kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed