Problem Description
How many ways can the numbers 1 to 15 be added together to make 15? The technical term for what you are asking is the "number of partition" which is often called P(n). A partition of n is a collection of positive integers (not necessarily distinct) whose sum equals n.
Now, I will give you a number n, and please tell me P(n) mod 1000000007.
Input
The first line contains a number T(1 ≤ T ≤ 100), which is the number of the case number. The next T lines, each line contains a number n(1 ≤ n ≤ 105) you need to consider.
Output
For each n, output P(n) in a single line.
Sample Input
4
5
11
15
19
Sample Output
7
56
176
490
