TRICOUNT - Counting Triangles


We define the LEVEL of a triangle as in the following illustrative image:

Task: Your task is very easy. All you have to do is to count all triangles in the biggest one (Level N).

Input

The first line of the input contains an integer T (T ≤ 10000) - the number of test cases and T lines follow. Each line contains an integer N (1 ≤ N ≤ 106) which is the level of the triangle in that test case.

Output

For each test case, you should write a seperate line: the number of triangles in the biggest one (Level N). (All answers will fit within the range of a 64-bit integer)

Example

Input:
3
1
2
3

Output:
1
5
13

Source limit is 500 bytes.


hide comments
Timmy Jose: 2015-12-11 20:20:26

Horribly written question. There should have been some explanation of how the levels are defined instead of randomly providing a pattern for powers of 2.

nonushikhar: 2015-10-02 01:16:37

hufffffffffff!!!! finally !!!did TONS of silly mistakes.........otherwise qs is easy just need to figure out pattern/formulae

Sarthak Munshi: 2015-09-14 22:08:52

this might help you https://www.youtube.com/watch?v=8be2n67ytqw

Anakar Parida: 2015-08-29 09:12:50

Finally did it.. but question was not that good. Though I got the reason for my earlier failure and learnt a lot about Polynomial Differential Theorem

Anakar Parida: 2015-08-24 19:46:20

I dont believe am getting WA for direct formula...zzz...

suhas: 2015-08-19 21:43:11

500bytes file size limit?seriously? had to compress it like hell. used single alphabets for all variable and function names. :P

kobe24: 2015-08-18 01:32:43

you can do it using recursion , i think tle is caused because of cin,cout use scanf and printf instead

maverick_10: 2015-08-05 17:51:00

applied direct formula available on net

thestranger_84: 2015-07-24 15:49:19

I am plugging the formula to solve the answer, using Long data type in java. but am still getting WA after some test cases. Has anyone faced something similar.

cassiano: 2015-06-20 00:05:10

Answer with the formula (NOT RECURSIVE) is giving TLE... WTF?


Added by:nha.duong
Date:2007-08-05
Time limit:1s
Source limit:500B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 ERL JS-RHINO NODEJS OBJC PERL6 SQLITE VB.NET
Resource:Trần Huy Hưng