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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
#764913#9479. And DNAReqCxmChtChrAC ✓2ms3956kbC++143.5kb2024-11-20 11:09:312024-11-20 11:09:37

Judging History

你现在查看的是最新测评结果

  • [2024-11-20 11:09:37]
  • 评测
  • 测评结果:AC
  • 用时:2ms
  • 内存:3956kb
  • [2024-11-20 11:09:31]
  • 提交

answer

#include<bits/stdc++.h>
//#pragma GCC optimize(3)
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/hash_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define int long long
#define ll long long
#define ull unsigned ll
#define db double
#define ldb long db
#define mp make_pair
#define fi first
#define se second
#define pii pair<int,int>
#define pbI push_back
#define inf 1e9
#define mdI int mid=(l+r)>>1
#define lowbit(x) (x&-x)
#define rep(a,b,c) for(int a=b;a<=c;a++)
#define MAXN 520
#define gint __int128
#define MOD 998244353
int qread(){
	char o=getchar();int f=1,x=0;
	for(;!isdigit(o);o=getchar())if(o=='-')f*=-1;
	for(;isdigit(o);o=getchar())x=x*10+o-'0';
	return f*x;
}
void chmx(int &x,int y){if(y>x)x=y;}
void chmi(int &x,int y){if(y<x)x=y;}
bool FLA;
namespace MathPart{
	#define rep(a,b,c) for(int a=b;a<=c;a++)
	#define vep(a,b,c) for(int a=b;a>=c;a--)
	void exgcd(ll a,ll b,ll &x,ll &y){if(b==0){x=1,y=0;return;}exgcd(b,a%b,y,x);y-=(a/b)*x;}
	ll inv(ll a,ll p=MOD){ll x,y;exgcd(a,p,x,y);return (x+p)%p;}
	gint qp(ll a,ll b,ll p=MOD){gint rs=1,bs=a;while(b){if(b&1){rs=rs*bs%p;}bs=bs*bs%p;b>>=1;}return rs;}
	ll fac[MAXN],ifac[MAXN];
	void initF(ll n,ll p=MOD){
		fac[0]=1;rep(i,1,n){fac[i]=fac[i-1]*i%p;}
		ifac[n]=inv(fac[n],p);vep(i,n-1,0){ifac[i]=ifac[i+1]*(i+1)%p;}
	}
	ll C(ll n,ll m){if(n<m){return 0;}return fac[n]*ifac[m]%MOD*ifac[n-m]%MOD;}
	ll CC(ll n,ll m,ll p=MOD){ll rs=1;rep(i,0,m-1){rs=rs*(n-i)%p*inv(i+1,MOD)%p;}return rs;}
	ll S2OL(ll n,ll m){
		ll rs=0,d=1,f=1;
		for(ll k=0;k<=m;k++){
			rs=(rs+f*C(m,k)*qp(m-k,n,MOD)%MOD+MOD)%MOD;
			d=d*max(k,1ll)%MOD;f*=-1;
		}return rs*inv(d,MOD)%MOD;
	}
	ll phi(ll a){ll rs=a,m=sqrt(a);
		rep(i,2,m){if(a%i==0){rs=rs/i*(i-1);while(a%i==0){a/=i;}}}
		if(a>1){rs=rs/a*(a-1);}return rs;
	}
	bool MR(ll pr){if(pr<2)return 0;if(pr==3)return 1;if(pr==2)return 1;
		ll a=pr-1,b=0;while(!(a&1))a>>=1,b++;
		for(int i=1;i<=8;++i){
		    ll x=rand()%(pr-2)+2,v=qp(x,a,pr),j;if(v==1||v==pr-1)continue;
		    for(j=0;j<b-1;j++){v=(gint)v*v%pr;if(v==pr-1)break;}
			if(v!=pr-1)return 0;
		}return 1;
	}
}
//using namespace MathPart;
int n,m,Pre;
int get(int m){
    if(m==1){return Pre;}
    if(m==0){return 1;}
    if(m&1){return (get(1)*get(m/2))%MOD;}
    else{return (get(m/2-1)+get(m/2))%MOD;}
}
struct Mat{
    int a[4][4];
    Mat(){memset(a,0,sizeof(a));}
    void one(){rep(i,0,3)a[i][i]=1;}
    Mat operator*(const Mat&b)const{
        Mat c;
        rep(k,0,3){rep(i,0,3){rep(j,0,3){
            c.a[i][j]=(c.a[i][j]+a[i][k]*b.a[k][j]%MOD)%MOD;
        }}}
        return c;
    }
    Mat operator=(Mat b){
        rep(i,0,3){rep(j,0,3){a[i][j]=b.a[i][j];}}
        return *this;
    }
}Pri,rs,bs;
bool FLB;
signed main(){
	cerr<<((&FLB)-(&FLA))/1024.0/1024<<endl;
	cin>>n>>m;
	Pri.a[1][2]=Pri.a[1][3]=Pri.a[3][2]=Pri.a[2][1]=1;
	int b=n;
	rs.one();bs=Pri;
	while(b){
        if(b&1){rs=rs*bs;}
        bs=bs*bs;b>>=1;
	}
	rep(i,0,3){Pre=(Pre+rs.a[i][i])%MOD;}
	cout<<get(m);
}
/*
*从小m考虑 m=1时01->10/11  11->10 10->01
m从低位开始,m奇->最低位不应有进位,最低一位独立,
m偶,如果偏要产生进位,应有三个1,但是可以由三个1扩展得知应当每一个都是1,实际上如果出现一个1,都应该全部为1
选择同奇,可以整体减一(化解进位问题)。

把所有的性质放在脑子里,随机应变

分段调试

不要执着于考虑环能带来什么性质,照常分析即可.(自信最重要)
*/

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3892kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

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

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3956kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3888kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3880kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3864kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 2ms
memory: 3876kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 1ms
memory: 3944kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 2ms
memory: 3876kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3944kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

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

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

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

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

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

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 1ms
memory: 3896kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 2ms
memory: 3872kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 1ms
memory: 3864kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

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

input:

4 0

output:

1

result:

ok "1"

Test #27:

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

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

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

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed