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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#766218#9479. And DNAqsc114AC ✓8ms3844kbC++111.0kb2024-11-20 16:37:252024-11-20 16:37:29

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 16:37:29]
  • 评测
  • 测评结果:AC
  • 用时:8ms
  • 内存:3844kb
  • [2024-11-20 16:37:25]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int MOD=998244353;
#define ll long long
ll n,m;
unordered_map<int,ll> mp;
struct mtx
{
	ll a[3][3];
	void init()
	{
		memset(a,0,sizeof a);
		for(int i=0;i<3;i++)
			a[i][i]=1;
	}
};
mtx operator*(mtx a,mtx b)
{
	mtx ans;memset(ans.a,0,sizeof ans.a);
	for(int i=0;i<3;i++)
		for(int j=0;j<3;j++)
			for(int k=0;k<3;k++)
				ans.a[i][j]+=a.a[i][k]*b.a[k][j]%MOD;
	for(int i:{0,1,2})
		for(int j:{0,1,2})
			ans.a[i][j]%=MOD;
	return ans;
}
mtx qpow(mtx a,ll b)
{
	mtx ans;ans.init();
	while(b)
	{
		if(b&1)ans=ans*a;
		a=a*a;b>>=1;
	}
	return ans;
}
ll calc(ll m)
{
	if(!m)return 1;
	if(mp[m])return mp[m];
	if(!(m^1))
	{
		mtx res;
		ll a[3][3]={{0,1,0},{1,0,1},{1,0,0}};
		for(int i:{0,1,2})for(int j:{0,1,2})
			res.a[i][j]=a[i][j];
		res=qpow(res,n);
		mp[m]+=res.a[0][0]+res.a[1][1]+res.a[2][2];
		return mp[m]%=MOD;
	}
	if(m%2==0)return (calc(m/2)+calc(m/2-1))%MOD;
	return calc(1)*calc((m-1)/2)%MOD;
}
int main()
{
	cin>>n>>m;
	cout<<calc(m);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3600kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

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

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3836kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 2ms
memory: 3612kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 8ms
memory: 3616kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 4ms
memory: 3544kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 8ms
memory: 3548kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3544kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3548kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 2ms
memory: 3608kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 3ms
memory: 3836kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 2ms
memory: 3840kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 5ms
memory: 3612kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 2ms
memory: 3808kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 8ms
memory: 3616kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 2ms
memory: 3588kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 7ms
memory: 3764kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 4ms
memory: 3556kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 4ms
memory: 3844kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 4ms
memory: 3768kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

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

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 3ms
memory: 3612kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed