题解 p4910 帕秋莉的手环

using namespace std;
typedef long long ll;
const ll mod = 1000000007;
struct  {
    ll a[2][2];
    friend inline matrix operator * (matrix a, matrix b) {
        matrix ans;
        memset(&ans, 0, sizeof ans);
        for(int i = 0; i < 2; i++)
            for(int k = 0; k < 2; k++)
                for(int j = 0; j < 2; j++) ans[i][j] = (ans[i][j] + 1ll * a[i][k] * b[k][j]) % mod;
        return ans;
    }
    ll* operator [] (ll x) {return a[x];}
} res, ans;
int main() {
    int t;
    long long n;
    scanf("%d", &t);
    while(t--) {
        scanf("%lld", &n);
        ans[0][0] = ans[1][1] = 1;
        ans[0][1] = ans[1][0] = 0;
        res[0][0] = res[0][1] = res[1][0] = 1;
        res[1][1] = 0;
        for(n--; n; n >>= 1, res = res * res) if(n & 1) ans = ans * res;
        printf("%lldn", ((ans[0][0] + ans[0][1]) % mod + ans[1][0]) % mod);
    }
    return 0;
}