CRDS - Cards

Maricruz have a lot of cards, she always uses her cards to build pyramids as shown in the following image:

Cards

A pyramid card of 3 levels. She always wonder how many cards does she need to make a pyramid card of N levels. Your task is to answer that question.

Input

The first line of the input contains an integer 1 <= T <= 1,000. Each of the following T lines will have an integer 1 <= N <= 1,000,000.

Output

For each case, output a single line consisting of the number of cards needed to build a pyramid card of level N modulo 1,000,007.

Example

Input Example
2
3
7

Output Example
15
77

Added by:Paulo Costa
Date:2012-01-30
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:UGTO

hide comments
2012-02-07 16:05:17 saibharath
i cant see the image using google chrome
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