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Tic Tac Toe
Tag(s):

Algorithms, Combinatorics, Easy, Mathematics

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King Tle4Ever of Time Limit Exceeded is really fascinated about Tic Tac Toe. He organizes a national level contest for Tic Tac Toe every year in Time Limit Exceeded. (Though I agree you need to be really stupid to loose a game of Tic Tac Toe but for the sake of question assume playing Tic Tac Toe for them is same as playing Chess for us :P ).

Every year the contest has lots of participants. This year there are n participants from all over the country. Seeing this huge participation he asks Moron a simple question.
Suppose participant pi wins wi matches. The king wants to know the sum of wi2 from 1 to n. Now as you already know Moron is not good with maths, he asks you to help him.

Given the value of n find the minimum and maximum value of sum of wi2 from 1 to n. As values can be too large output the values mod 109+7.

[Input]
First line contains a single integer t denoting number of test cases.
Next t lines contains a single integer n denoting the number of participants.

[Output]
For each test case output the minimum and maximum value mod 109+7. Say minimum is minx and maximum is maxx than you should print "minx maxx".

[Constraints]
1<=t<=105
3<=n<=109

NOTE : n will be an odd integer

SAMPLE INPUT
2
3
5
SAMPLE OUTPUT
3 5
20 30
Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB
Marking Scheme: Marks are awarded when all the testcases pass.
Allowed Languages: Bash, C, C++, C++14, Clojure, C#, D, Erlang, F#, Go, Groovy, Haskell, Java, Java 8, JavaScript(Rhino), JavaScript(Node.js), Julia, Kotlin, Lisp, Lisp (SBCL), Lua, Objective-C, OCaml, Octave, Pascal, Perl, PHP, Python, Python 3, R(RScript), Racket, Ruby, Rust, Scala, Swift, Swift-4.1, TypeScript, Visual Basic

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This Problem was Asked in

HackerEarth

Challenge Name

November Easy Challenge

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