1 条题解

  • 1
    @ 2022-7-13 17:27:11
    /*****************************************
    备注:
    ******************************************/
    #include <queue>
    #include <math.h>
    #include <stack>
    #include <stdio.h>
    #include <iostream>
    #include <vector>
    #include <iomanip>
    #include <string.h>
    #include <algorithm>
    using namespace std;
    #define LL long long
    const int N = 20;
    const int INF = 0x3f3f3f3f;
    const int Mod = 1e7 + 7;
    struct node
    {
    	LL a[N][N];
    	node()
    	{
    		memset(a,0,sizeof(a));
    		for(int i = 0 ; i < N ; i++)
    			a[i][0] = 10 ;
    		for(int i = 1 ; i < N ; i++)
    			for(int j = 1 ;j <= i ; j++)
    				a[i][j] = 1;
    
    	}
    };
    int n , m;
    node operator * (node a , node b)
    {
    	node c;
    	memset(c.a,0 , sizeof(c.a));
    	for(int i = 0 ; i <= n+1 ; i++)
    		for(int j = 0 ; j <= n+1 ; j++)
    		{
    			LL sum = 0;
    			for(int k = 0 ; k <= n+1 ; k++)
    				sum = (sum + a.a[i][k] * b.a[k][j]) %Mod;
    			c.a[i][j] = sum;
    		}
    	return c;
    } 
    void print(node p)
    {
    	for(int i = 0 ; i <= n + 1 ; i++)
    	{
    		for(int j = 0 ; j <= n + 1; j ++)
    			cout << p.a[i][j] << " ";
    		cout << endl;
    	}
    }
    int main()
    {
    	while(cin >> n >> m)
    	{
    		node p;
    		for(int i = 0 ; i <= n ; i++)
    			p.a[n+1][i] = 0 , p.a[i][n+1] = 3;
    		p.a[n+1][n+1] = 1;
    		/***************************/
    		LL x[100];
    		memset(x,0,sizeof(x));
    		x[0] = 233;
    		for(int i = 1; i <= n ;i++)
    		{
    			cin >> x[i];
    			x[i] = (x[i-1] + x[i])%Mod;
    		}
    		x[n+1] = 1LL;
    		m--;
    		node ans;
    		memset(ans.a , 0 , sizeof ans.a);
    		for(int i = 0 ; i <= n+1 ; i++)
    			ans.a[i][i] = 1;
    		while(m)
    		{
    			if(m&1)
    				ans = ans * p;
    			m >>= 1LL;
    			p = p * p;
    		}
    		// print(ans);
    		LL sum = 0;
    		
    		for(int i = 0 ; i <= n+1 ; i++ )
    		{
    			sum = (sum + (x[i] * ans.a[n][i])%Mod) %Mod;
    		} 
    		cout << sum << endl;
    	}
    
    	return 0;
    }
    
    • 1

    信息

    ID
    137
    时间
    1000ms
    内存
    128MiB
    难度
    4
    标签
    递交数
    23
    已通过
    16
    上传者