You are given T tests and each test contains a number n. Your task is to determine the value of the following expression:
n∑i=0[F(i)]2
F(0)=0, F(1)=1, F(2)=1, ..., F(n)=F(n−1)+F(n−2)
Input format
Output format
Print the answer as described in the problem mod 1e9+7.
Constraints
1≤T≤1051≤N≤1018
The first sample