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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#764618#9479. And DNAzero-rangeAC ✓0ms3988kbC++231.5kb2024-11-20 09:57:562024-11-20 09:58:09

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 09:58:09]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3988kb
  • [2024-11-20 09:57:56]
  • 提交

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));
}

Details

Tip: Click on the bar to expand more detailed information

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