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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#767833#9479. And DNAacwing_gzaAC ✓0ms3764kbC++142.2kb2024-11-20 22:18:292024-11-20 22:18:30

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 22:18:30]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3764kb
  • [2024-11-20 22:18:29]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
namespace gza{
	#define int long long
	#define pb push_back
	#define MT int TTT=R;while(TTT--)
	#define pc putchar
	#define R read()
	#define fo(i,a,b) for(int i=a;i<=b;i++)
	#define rep(i,a,b) for(int i=a;i>=b;i--)
	#define m1(a,b) memset(a,b,sizeof a)
	namespace IO
	{
		inline int read()
		{
		    int x=0;
		    char ch=getchar();
		    bool f=0;
		    while(!isdigit(ch)){if(ch=='-') f=1;ch=getchar();}
		    while(isdigit(ch)) x=(x<<1)+(x<<3)+(ch^48),ch=getchar();
		    if(f) x=-x;
		    return x;    
		}
		template<typename ans> inline void write(ans x)
		{
		    if(x<0) pc('-'),x=-x;
		    if(x>9) write(x/10);
		    pc(x%10+'0');
		}
	};
	namespace math
	{
		inline int gcd(int a,int b)
		{
			int az=__builtin_ctz(a),bz=__builtin_ctz(b),z=(az>bz)?bz:az,t;
		    b>>=bz;
		    while(a) a>>=az,t=a-b,b=a,az=__builtin_ctz(t<0?-t:t),a=t<0?-t:t;
		    return b<<z;
		}
		inline int qmi(int a,int b,int p)
		{
			int res=1;
			while(b)
			{
				if(b&1) res=res*a%p;
				a=a*a%p;
				b>>=1;
			}
			return res;
		}
		const int MAXN=2e6+10;
		int my_fac[MAXN],my_inv[MAXN];
		void init_binom(int mod)
		{
			my_fac[0]=1;fo(i,1,min(MAXN,mod)-1) my_fac[i]=my_fac[i-1]*i%mod;
			my_inv[min(MAXN,mod)-1]=qmi(my_fac[min(MAXN,mod)-1],mod-2,mod);rep(i,min(MAXN,mod)-2,0) my_inv[i]=my_inv[i+1]*(i+1)%mod;
		}
		int binom(int a,int b,int mod)
		{
			if(a<b) return 0;
			return my_fac[a]*my_inv[b]%mod*my_inv[a-b]%mod;
		}
	};
	using namespace IO;
	using namespace math;
	
	typedef array<array<int,3>,3> Mat;
	const int mod=998244353;
	Mat operator *(const Mat &u,const Mat &v)
	{
		Mat w{0,0,0,0,0,0,0,0,0};
		fo(i,0,2) fo(k,0,2) fo(j,0,2) w[i][j]=(w[i][j]+u[i][k]*v[k][j])%mod;
		return w;
	}
	int n,m;
	Mat base{1,0,0,0,1,0,0,0,1},ans{0,1,1,1,0,0,0,1,0};
	unordered_map<int,int> dp;
	int tt;
	int f(int x)
	{
		if(x<=1) return x?tt:1;
		if(dp.count(x)) return dp[x];
		if(x&1) return dp[x]=tt*f(x/2)%mod;
		return dp[x]=(f(x/2)+f(x/2-1))%mod;
	}
	void main(){
		n=R,m=R;
		for(int k=n;k;k>>=1,ans=ans*ans) if(k&1) base=base*ans;
		tt=(base[0][0]+base[1][1]+base[2][2])%mod;
		write(f(m)),puts("");
	}
}
signed main(){
	
	gza::main();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3480kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3472kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3484kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3448kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3476kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3448kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3448kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3444kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3492kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

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

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3472kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3480kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3452kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed