Problem Description

As is known to all, the definition of Fibonacci Numbers is:
f(1)=1
f(2)=1
f(n)=f(n-1)+f(n-2) (n>=3)

Now Sempr found another Numbers, he named it "Sibonacci Numbers", the definition is below:
f(x)=0 (x<0)
f(x)=1 (0<=x<1)
f(x)=f(x-1)+f(x-3.14) (x>=1)

Your work is to tell me the result of f(x), is the answer is too large, divide it by 1000000007 and give me the remainder.
Be careful the number x can be an integer or not.

Input

In the first line there is an Integer T(0<T<=10000) which means the number of test cases in the input file.
Then followed T different lines, each contains a number x(-1000<x<1000).

Output

For each case of the input file, just output the result, one for each line.

3
-1
0.667
3.15

0
1
2

Author

Sempr|CrazyBird|hust07p43