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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#766058#9479. And DNAktq_cppAC ✓1ms4116kbC++141.5kb2024-11-20 16:03:192024-11-20 16:03:19

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 16:03:19]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:4116kb
  • [2024-11-20 16:03:19]
  • 提交

answer

/*
https://qoj.ac/problem/9479
*/
#include<bits/stdc++.h>
#define ll long long
#define pb push_back
#define mpr make_pair
#define rep(i,n) for(int i=1;i<=n;i++)
#define repe(i,l,r) for(int i=l;i<=r;i++)
#define FOR(i,r,l) for(int i=r;i>=l;i--)
#define pii pair<int,int>
#define ALL(v) v.begin(),v.end()
using namespace std;
void chkmax(int& x,int y){x=x>y? x:y;}
void chkmin(int& x,int y){x=x>y? y:x;}
int n,m;
const int P=998244353;
unordered_map<int,int> ans;
struct Matrix{
	int a[3][3],n,m;
	Matrix(){
		memset(a,0,sizeof(a));
		n=m=0;
	}
}A,B;
Matrix operator*(Matrix a,Matrix b){
	Matrix c;
	c.n=a.n,c.m=b.m;
	for(int i=0;i<c.n;i++){
		for(int j=0;j<c.m;j++){
			c.a[i][j]=0;
			for(int k=0;k<a.m;k++){
				(c.a[i][j]+=1ll*a.a[i][k]*b.a[k][j]%P)%=P;
			}
		}
	}
	return c;
}
Matrix fast(Matrix a,int b){
	Matrix res;
	res.n=res.m=3;
	res.a[0][0]=res.a[1][1]=res.a[2][2]=1;
	while(b){
		if(b&1)res=res*a;
		b>>=1;
		a=a*a;
	}
	return res;
}
int dfs(int m){
	if(ans.find(m)!=ans.end())return ans[m];
	if(m&1)return ans[m]=1ll*dfs((m-1)/2)*dfs(1)%P;
	else return ans[m]=(dfs(m/2)+dfs(m/2-1))%P;
}
signed main(){
	scanf("%d %d",&n,&m);
	ans[0]=1;
	B.n=3,B.m=3;
	B.a[0][1]=1,B.a[2][1]=1,B.a[2][0]=1,B.a[1][2]=1;
	A.a[0][0]=A.a[0][1]=A.a[0][2]=1;
	/*
	11->10
	01->10
	01->11
	10->01
	
	11:0
	10:1
	01:2
	*/
	A.n=1,A.m=3;
	B=fast(B,n);
	for(int i=0;i<3;i++){
		ans[1]+=B.a[i][i];ans[1]%=P;
	}
	printf("%d\n",dfs(m));
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3804kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

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

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: 3800kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

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

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

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

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

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

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

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

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 4088kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

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

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

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

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

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

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 4116kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

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

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

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

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 1ms
memory: 4068kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 1ms
memory: 4092kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

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

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 1ms
memory: 3748kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 1ms
memory: 3836kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 1ms
memory: 4092kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed