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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#765516#9479. And DNAchrhaaAC ✓1ms4104kbC++141.7kb2024-11-20 14:30:572024-11-20 14:31:03

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 14:31:03]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:4104kb
  • [2024-11-20 14:30:57]
  • 提交

answer

#define _CRT_SECURE_NO_WARNINGS 1

#include<stdio.h>
#include<unordered_map>
using namespace std;
const int N=200005;

#define ll long long
const ll P=998244353;

class Matrix{//0-index
	public:
		Matrix(){};
		~Matrix(){};
		
		Matrix(int h,int w):_height(h),_width(w){
			for(int i=0,j;i<h;i++)
			for(j=0;j<w;j++) _matrix[i][j]=0;
		}
		
		Matrix(int h,int w,int f):_height(h),_width(w){
			for(int i=0,j;i<h;i++)
			for(j=0;j<w;j++) _matrix[i][j]=0;
			
			if(f) for(int i=0;i<h;i++)
				_matrix[i][i]=f;
		}
		
		void resize(int h,int w,int f=0){
			_height=h;
            _width=w;
			
			for(int i=0,j;i<h;i++)
			for(j=0;j<w;j++) _matrix[i][j]=0;
            
            if(f) for(int i=0;i<h;i++)
                _matrix[i][i]=f;
		}

        inline int height(){
            return _height;
        }

        inline int width(){
            return _width;
        }
		
		inline ll* operator[](int x)
		{return _matrix[x];}
	private:
		int _height,_width;
		ll _matrix[4][4];
};

Matrix operator*(Matrix &x,Matrix &y){
	int i,j,k,h=x.height(),w=y.width();
	Matrix z(h,w);

	for(k=0;k<x.width();k++)
    for(i=0;i<h;i++) for(j=0;j<w;j++)
		z[i][j]=(z[i][j]+x[i][k]*y[k][j])%P;
	
	return z;
}

int n,m;
ll f;
Matrix m1,m2;
unordered_map<int,ll> dp;

ll DP(int x){
	if(!x) return 1;
	if(dp.count(x)) return dp[x];

	ll res;

	if(x&1) res=DP(x>>1)*f%P;
	else res=(DP(x>>1)+DP((x>>1)-1))%P;

	return dp[x]=res;
}

signed main(){
	scanf("%d%d",&n,&m);
	m1.resize(3,3);
	m2.resize(3,3,1);
	m1[0][1]=m1[0][2]=m1[1][0]=m1[2][1]=1;

	while(n){
		if(n&1) m2=m2*m1;

		m1=m1*m1;
		n>>=1;
	}

	f=1ll*(m2[0][0]+m2[1][1]+m2[2][2])%P;
	printf("%lld\n",DP(m));
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3888kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 4104kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 4092kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 4060kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 4092kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed