本人使用矩阵乘法试图解决本题,但无法找到 Bug 且 0 分,求调!
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define MOD 19260817
int n,k;
struct matrix
{
int p[5][5];
matrix operator * (const matrix d) const
{
matrix g;
memset(g.p,0,sizeof(g.p));
for(int i = 1ll;i <= n;i++)
{
for(int j = 1ll;j <= n;j++)
{
for(int k = 1ll;k <= n;k++)
{
g.p[i][j] = (g.p[i][j] + (d.p[i][k] * p[k][j]) % MOD) % MOD;
g.p[i][j] %= MOD;
}
}
}
return g;
}
void operator = (matrix d)
{
for(int i = 1ll;i <= n;i++)
{
for(int j = 1ll;j <= n;j++)
{
p[i][j] = d.p[i][j];
}
}
}
} ans,zer0,p;
void output(matrix r)
{
for(int i = 1ll;i <= n;i++)
{
for(int j = 1ll;j <= n;j++)
{
cout << r.p[i][j] << " ";
}
cout << endl;
}
}
void read(matrix &b)
{
for(int i = 1ll;i <= n;i++)
{
for(int j = 1ll;j <= n;j++)
{
cin >> b.p[i][j];
}
}
}
void init(matrix &a,int l)
{
for(int i = 1ll;i <= n;i++)
{
for(int j = 1ll;j <= n;j++)
{
a.p[i][j] = l;
}
}
}
matrix ksm(int kkk)
{
matrix tmp;
tmp.p[1][1] = 7;
tmp.p[1][2] = 4;
tmp.p[1][3] = 2;
tmp.p[2][1] = 0;
tmp.p[2][2] = 0;
tmp.p[2][3] = 0;
tmp.p[3][1] = 0;
tmp.p[3][2] = 0;
tmp.p[3][3] = 0;
for(int i = 0;i < 31;i++,p = p * p)
{
if(kkk & (1 << i)) tmp = tmp * p;
}
return tmp;
}
signed main()
{
//freopen("1.in","r",stdin);
//freopen("1.out","w",stdout);
p.p[1][1] = 1;
p.p[1][2] = 1;
p.p[1][3] = 1;
p.p[2][1] = 1;
p.p[2][2] = 0;
p.p[2][3] = 0;
p.p[3][1] = 0;
p.p[3][2] = 1;
p.p[3][3] = 0;
for(int i = 1;i <= n;i++)
{
for(int j = 1;j <= n;j++)
{
zer0.p[i][j] = (i == j);
}
}
int t;
cin >> t;
while(t--)
{
n = 3;
cin >> k;
if(k == 1)
{
cout << "2\n";
continue;
}
if(k == 2)
{
cout << "4\n";
continue;
}
if(k == 3)
{
cout << "7\n";
continue;
}
matrix hhh = ksm(k - 3);
//output(hhh);
cout << (hhh.p[1][1] + hhh.p[1][2]) % 19260817 << endl;
}
return 0;
}