PRWAS - Prana and The Series
Prana loves to find summation of any series. Today she has found one and now she is trying to find the sum of the first n terms.
The n^{th} term of the series is f(n).
f(n) = 1, when n=1
f(n)= ((n-1)*(8*(n–2)* 2+ 20)+4) , when n>1
Suddenly her baby cried for some reason. So now she has to take care of her baby. Now she needs your help to find out the sum of the first n terms of the series i.e. f(1)+f(2)+…….+f(n).
Input
The first line contains an integer T i.e. number of test cases. Next T lines will contain an integer n.
T ≤10^{5}
1 ≤ n≤10^{9}
Output
Print the values corresponding to each test case. As the sum will be huge you have to print the result mod (10^{9}+7).
Sample
Input |
Output |
3 1 2 3 |
1 25 101 |
Added by: | Abu Sufian |
Date: | 2014-10-16 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |