QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#765480 | #9479. And DNA | scallionsong | AC ✓ | 1ms | 4024kb | C++14 | 2.8kb | 2024-11-20 14:24:52 | 2024-11-20 14:24:56 |
Judging History
answer
bool M1;
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/hash_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define ll long long
#define ull unsigned long long
#define LL __int128
#define db double
#define LD long double
#define Pii pair<int,int>
#define Pll pair<ll,ll>
#define Pull pair<ull,ull>
#define Pdb pair<db,db>
#define fir first
#define sec second
#define vec vector<int>
#define pb push_back
#define qlr cerr<<"qlr\n"
#define dyh cerr<<"dyh\n"
#define pc(x) __builtin_popcount(x)
#define uni(x,y) uniform_int_distribution<int>(x,y)(rng)
#define unl(x,y) uniform_int_distribution<ll>(x,y)(rng)
#define unr(x,y) uniform_real_distribution<double>(x,y)(rng)
#define F(i,a,b) for(int i=a,i##end=b;i<=i##end;i++)
#define UF(i,a,b) for(int i=a,i##end=b;i>=i##end;i--)
#define look_memory cerr<<'\n'<<abs(&M1-&M2)/1024.0/1024<<'\n'
#define look_time cerr<<'\n'<<clock()*1.0/CLOCKS_PER_SEC<<'\n'
mt19937 rng(time(0)^(*new int));
const ll INF=0x3f3f3f3f3f3f3f3f;
const int Mod=998244353;
template<typename T>
inline void inc(T &a,T b){
if(b<0) b+=Mod;
a+=b;
if(a>=Mod) a-=Mod;
}
template<typename T>
inline void dec(T &a,T b){
if(b<0) b+=Mod;
a-=b;
if(a<0) a+=Mod;
}
template<typename T>
inline void muc(T &a,T b){
a=a*b%Mod;
}
template<typename T>
inline bool chkmin(T &a,T b){
if(a<=b) return false;
a=b;
return true;
}
template<typename T>
inline bool chkmax(T &a,T b){
if(a>=b) return false;
a=b;
return true;
}
int n,m;
ll cnt;
ll f[40][2];
struct Matrix{
ll a[3][3];
void init(){
a[0][0]=0;
a[0][1]=1;
a[0][2]=1;
a[1][0]=1;
a[1][1]=0;
a[1][2]=0;
a[2][0]=0;
a[2][1]=1;
a[2][2]=0;
}
ll val(){
return (a[0][0]+a[0][2]+a[1][0]+a[1][1]+a[2][1])%Mod;
}
void init0(){
F(i,0,2) F(j,0,2) a[i][j]=0;
}
void init1(){
init0();
F(i,0,2) a[i][i]=1;
}
};
Matrix operator*(Matrix a,Matrix b){
Matrix c;
c.init0();
F(i,0,2){
F(j,0,2){
F(k,0,2){
c.a[i][j]=(c.a[i][j]+a.a[i][k]*b.a[k][j])%Mod;
}
}
}
return c;
}
Matrix mt;
Matrix qpow(Matrix a,ll b){
Matrix res,base=a;
res.init1();
while(b){
if(b&1) res=res*base;
base=base*base;
b>>=1;
}
return res;
}
bool M2;
int main(){
// freopen("yielding.in","r",stdin);
// freopen("yielding.out","w",stdout);
srand(time(0)^(*new int));
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n>>m;
mt.init();
mt=qpow(mt,n-2);
cnt=mt.val();
f[0][0]=1;
F(i,1,30){
if(m>>i-1&1){
f[i][0]=(f[i-1][0]*cnt+f[i-1][1])%Mod;
f[i][1]=f[i-1][1];
}
else{
f[i][0]=f[i-1][0];
f[i][1]=(f[i-1][0]+f[i-1][1]*cnt)%Mod;
}
}
f[30][0]=(f[30][0]%Mod+Mod)%Mod;
cout<<f[30][0];
look_memory;
look_time;
return 0;
}
/*
g++ A1.cpp -o A1 -std=c++14 -O2&&./A1
2 3
1 2
2 3
1 4
2 2
1 3
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3964kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 4020kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3984kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3996kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3976kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 1ms
memory: 3920kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3928kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3912kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 1ms
memory: 4024kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3972kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3980kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 1ms
memory: 3996kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 1ms
memory: 4016kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 1ms
memory: 3912kb
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: 1ms
memory: 3928kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3924kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 1ms
memory: 3992kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed