OJ-Problems-Source/HDOJ/5950_west__wind.cpp

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#include<cstdio>
using namespace std;
typedef long long ll;
const ll mod = 2147493647;
ll n,a,b;
struct Matrix
{
ll m[7][7];
void init1()
{
m[0][0] = b,m[0][1] = 0,m[0][2] = 0,m[0][3] = 0,m[0][4] = 0,m[0][5] = 0,m[0][6] = 0;
m[1][0] = a,m[1][1] = 0,m[1][2] = 0,m[1][3] = 0,m[1][4] = 0,m[1][5] = 0,m[1][6] = 0;
m[2][0] = 16,m[2][1] = 0,m[2][2] = 0,m[2][3] = 0,m[2][4] = 0,m[2][5] = 0,m[2][6] = 0;
m[3][0] = 8,m[3][1] = 0,m[3][2] = 0,m[3][3] = 0,m[3][4] = 0,m[3][5] = 0,m[3][6] = 0;
m[4][0] = 4,m[4][1] = 0,m[4][2] = 0,m[4][3] = 0,m[4][4] = 0,m[4][5] = 0,m[4][6] = 0;
m[5][0] = 2,m[5][1] = 0,m[5][2] = 0,m[5][3] = 0,m[5][4] = 0,m[5][5] = 0,m[5][6] = 0;
m[6][0] = 1,m[6][1] = 0,m[6][2] = 0,m[6][3] = 0,m[6][4] = 0,m[6][5] = 0,m[6][6] = 0;
}
void init2()
{
m[0][0] = 1,m[0][1] = 2,m[0][2] = 1,m[0][3] = 4,m[0][4] = 6,m[0][5] = 4,m[0][6] = 1;
m[1][0] = 1,m[1][1] = 0,m[1][2] = 0,m[1][3] = 0,m[1][4] = 0,m[1][5] = 0,m[1][6] = 0;
m[2][0] = 0,m[2][1] = 0,m[2][2] = 1,m[2][3] = 4,m[2][4] = 6,m[2][5] = 4,m[2][6] = 1;
m[3][0] = 0,m[3][1] = 0,m[3][2] = 0,m[3][3] = 1,m[3][4] = 3,m[3][5] = 3,m[3][6] = 1;
m[4][0] = 0,m[4][1] = 0,m[4][2] = 0,m[4][3] = 0,m[4][4] = 1,m[4][5] = 2,m[4][6] = 1;
m[5][0] = 0,m[5][1] = 0,m[5][2] = 0,m[5][3] = 0,m[5][4] = 0,m[5][5] = 1,m[5][6] = 1;
m[6][0] = 0,m[6][1] = 0,m[6][2] = 0,m[6][3] = 0,m[6][4] = 0,m[6][5] = 0,m[6][6] = 1;
}
Matrix operator * (Matrix t)
{
Matrix res;
for (int i = 0; i < 7; i++)
{
for (int j = 0; j < 7; j++)
{
res.m[i][j] = 0;
for (int k = 0;k < 7; k++)
res.m[i][j] = (res.m[i][j] + (m[i][k] % mod) * (t.m[k][j] % mod) % mod) % mod;
}
}
return res;
}
Matrix operator ^ (int k)
{
Matrix res,s;
res.init2();
s.init2();
while(k)
{
if(k & 1)
res = res * s;
k >>= 1;
s = s * s;
}
return res;
}
};
int main()
{
int T;
scanf("%d",&T);
while(T--)
{
scanf("%lld %lld %lld",&n,&a,&b);
if(n == 1)
{
printf("%lld\n",a % mod);
continue;
}
if(n == 2)
{
printf("%lld\n",b % mod);
continue;
}
Matrix ans,t;
ans.init1();
t.init2();
ans = (t^(n-3)) * ans;
printf("%lld\n",ans.m[0][0]);
}
return 0;
}