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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#659265#9479. And DNAucup-team191#AC ✓0ms3720kbC++231.4kb2024-10-19 19:25:422024-10-19 19:25:44

Judging History

你现在查看的是最新测评结果

  • [2024-10-19 19:25:44]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3720kb
  • [2024-10-19 19:25:42]
  • 提交

answer

#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
using ll=long long;
using pii=pair<int,int>;
using vi=vector<int>;
using vl=vector<ll>;
#define pb push_back
#define all(a) begin(a),end(a)

const int N=300010,MOD=998244353;
const char en='\n';
const ll LLINF=1ll<<60;

int mul(int a,int b)
{
	return a*1ll*b%MOD;
}

int add(int a,int b)
{
	if (a+b>=MOD) return a+b-MOD;
	return a+b;
}

void ad(int&a,int b)
{
	a+=b;
	if (a>=MOD) a-=MOD;
}

int n,m;

using mat=array<array<int,3>,3>;
mat mno,id;

mat mul(mat a,mat b)
{
	mat c;
	for (int i=0;i<3;++i) for (int j=0;j<3;++j)
	{
		c[i][j]=0;
		for (int k=0;k<3;++k) ad(c[i][j],mul(a[i][k],b[k][j]));
	}
	return c;
}

mat pot(mat a,int k)
{
	if (k==0) return id;
	mat r=pot(a,k/2);
	r=mul(r,r);
	if (k%2) r=mul(r,a);
	return r;
}

int f(int x)
{
	return pot(mno,x)[1][1];
}

int dp[2][50];

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	id[0][0]=1;
	id[1][1]=1;
	id[2][2]=1;
	mno[0][1]=1;
	mno[0][2]=1;
	mno[1][0]=1;
	mno[2][1]=1;
	cin>>n>>m;
	int ko=add(mul(2,f(n-2)),mul(3,f(n-3)));
	dp[0][30]=1;
	for (int i=29;i>=0;--i)
	{
		ad(dp[(m>>i)&1][i],dp[1][i+1]); //add 2
		ad(dp[(m>>i)&1][i],dp[0][i+1]); //add 0
		if ((m>>i)&1)
		{
			ad(dp[0][i],mul(ko,dp[0][i+1])); //add 1
		}
		else
		{
			ad(dp[1][i],mul(ko,dp[1][i+1])); //add 1
		}
	}
	cout<<dp[0][0]<<en;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3664kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

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

input:

3 0

output:

1

result:

ok "1"

Test #3:

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

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

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

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: 3584kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

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

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3524kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed