比赛 20241025 评测结果 AAAAAAAAAA
题目名称 九连环 最终得分 100
用户昵称 ┭┮﹏┭┮ 运行时间 0.032 s
代码语言 C++ 内存使用 3.53 MiB
提交时间 2024-10-25 07:44:26
显示代码纯文本
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define fi first
#define in inline
#define se second
#define mp make_pair
#define pb push_back
const int N = 1e5+10;
const ll mod = 998244353;

ll read(){
	ll x = 0,f = 1;char c = getchar();
	for(;c < '0' || c > '9';c = getchar())if(c == '-')f = -1;
	for(;c >= '0' && c <= '9';c = getchar())x = (x<<1) + (x<<3) + c-'0';
	return x * f;
}

ll n,f[N];

struct Matrix{
	ll c[3][3];
	void clear(){memset(c,0,sizeof c);}
	Matrix operator * (const Matrix x)const{
		Matrix y;y.clear();
		for(int i = 0;i < 3;i++)
			for(int j = 0;j < 3;j++)	
				for(int k = 0;k < 3;k++)(y.c[i][j] += c[i][k] * x.c[k][j] % mod) %= mod;
		return y;
	}
}F,U;
int main(){
	freopen("X.in","r",stdin);
	freopen("X.out","w",stdout);
	n = read();
	F.c[0][0] = 2,F.c[0][1] = 1,F.c[0][2] = 1;
	if(n == 1)return printf("1\n"),0;
	if(n == 2)return printf("2\n"),0;
	n -= 2;
	U.c[0][0] = 1,U.c[1][0] = 2,U.c[2][0] = 1;
	U.c[0][1] = 1,U.c[2][2] = 1;
	while(n){
		if(n & 1)F = F * U;
		U = U * U;n >>= 1; 
	}
	printf("%lld\n",F.c[0][0]);
	
	
	return 0;

}