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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 |
---|---|---|---|---|---|---|---|---|---|
#764618 | #9479. And DNA | zero-range | AC ✓ | 0ms | 3988kb | C++23 | 1.5kb | 2024-11-20 09:57:56 | 2024-11-20 09:58:09 |
Judging History
answer
#include<stdio.h>
#include<map>
using namespace std;
/*
01 => 11, 10
10 => 01
11 => 10
*/
constexpr int mod=998244353;
struct Mat{
int a[3][3];
int *operator[](int i){return a[i];}
const int *operator[](int i) const{return a[i];}
Mat operator*(const Mat &x) const{
return Mat{
int((1ll*a[0][0]*x[0][0]+1ll*a[0][1]*x[1][0]+1ll*a[0][2]*x[2][0])%mod),
int((1ll*a[0][0]*x[0][1]+1ll*a[0][1]*x[1][1]+1ll*a[0][2]*x[2][1])%mod),
int((1ll*a[0][0]*x[0][2]+1ll*a[0][1]*x[1][2]+1ll*a[0][2]*x[2][2])%mod),
int((1ll*a[1][0]*x[0][0]+1ll*a[1][1]*x[1][0]+1ll*a[1][2]*x[2][0])%mod),
int((1ll*a[1][0]*x[0][1]+1ll*a[1][1]*x[1][1]+1ll*a[1][2]*x[2][1])%mod),
int((1ll*a[1][0]*x[0][2]+1ll*a[1][1]*x[1][2]+1ll*a[1][2]*x[2][2])%mod),
int((1ll*a[2][0]*x[0][0]+1ll*a[2][1]*x[1][0]+1ll*a[2][2]*x[2][0])%mod),
int((1ll*a[2][0]*x[0][1]+1ll*a[2][1]*x[1][1]+1ll*a[2][2]*x[2][1])%mod),
int((1ll*a[2][0]*x[0][2]+1ll*a[2][1]*x[1][2]+1ll*a[2][2]*x[2][2])%mod),
};
}
Mat &operator*=(const Mat &x){return *this=*this*x;}
};
Mat pow(Mat x,int y){
Mat r{1,0,0,0,1,0,0,0,1};
for(;y;y>>=1,x*=x) if(y&1) r*=x;
return r;
}
int n,m;
map<int,int> f;
int F(int x){
auto it=f.find(x);
if(it!=f.end()) return it->second;
if(x&1) return f[x]=1ll*F(1)*F((x-1)/2)%mod;
return f[x]=(F(x/2)+F(x/2-1))%mod;
}
int main(){
// freopen("in.txt","r",stdin);
scanf("%d%d",&n,&m);
Mat r=pow(Mat{0,1,1,1,0,0,0,1,0},n);
f[1]=((long long)r[0][0]+r[1][1]+r[2][2])%mod,f[0]=1;
printf("%d",F(m));
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3960kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3988kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3968kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3964kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3964kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed