QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#735275 | #9479. And DNA | rqoi031 | AC ✓ | 0ms | 1644kb | C++20 | 2.0kb | 2024-11-11 18:54:08 | 2024-11-11 18:54:10 |
Judging History
answer
#include<stdio.h>
#include<algorithm>
typedef unsigned int uint;
typedef unsigned long long ull;
constexpr uint mod{998244353};
constexpr uint plus(const uint &x,const uint &y) {
if(x+y>=mod) {
return x+y-mod;
}
return x+y;
}
template<int N>
struct vector {
uint a[N];
constexpr vector():a{} {}
};
template<uint N>
struct matrix {
uint a[N][N];
constexpr matrix():a{} {}
constexpr matrix<N> operator*(const matrix<N> &x) const {
matrix<N> y;
for(uint i=0;i!=N;i++) {
for(uint j=0;j!=N;j++) {
for(uint k=0;k!=N;k++) {
y.a[i][k]=(y.a[i][k]+ull(this->a[i][j])*x.a[j][k])%mod;
}
}
}
return y;
}
constexpr vector<N> operator*(const vector<N> &x) const {
vector<N> y;
for(uint i=0;i!=N;i++) {
for(uint j=0;j!=N;j++) {
y.a[i]=(y.a[i]+ull(this->a[i][j])*x.a[j])%mod;
}
}
return y;
}
};
int main() {
int n,m;
scanf("%d%d",&n,&m);
uint coef[3]{1,0,1};
matrix<4> a,b;
for(int i=0;i!=4;i++) {
for(int j=0;j!=2;j++) {
if((i&j&1)+(i>>1)==1) {
a.a[i][i>>1|j<<1]=1;
}
}
b.a[i][i]=1;
}
for(int i=n-2;i;i>>=1) {
if(i&1) {
b=a*b;
}
a=a*a;
}
for(int i=0;i!=4;i++) {
for(int j=0;j!=4;j++) {
if((i&j&1)+(j>>1)==1&&(j>>1&i>>1)+(i&1)==1) {
coef[1]=plus(coef[1],b.a[i][j]);
}
}
}
uint dp[2]{};
dp[0]=1;
for(int i=0;1<<i<=m;i++) {
uint dp2[2]{};
for(int j=0;j!=2;j++) {
for(int k=0;k<=2;k++) {
if((j+k&1)==(m>>i&1)) {
dp2[j+k>>1]=(dp2[j+k>>1]+ull(coef[k])*dp[j])%mod;
}
}
}
std::copy(dp2,dp2+2,dp);
}
printf("%u\n",dp[0]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 1624kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 1640kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 1588kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 1628kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 1632kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 1604kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 1608kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 1592kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 1620kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 1592kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 1612kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 1600kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 1612kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 1640kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 1640kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 1580kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 1544kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 1624kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 1592kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 1612kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 1544kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 1544kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 1588kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 1628kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 1644kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 1580kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 1640kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 1560kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 1632kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 1600kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed