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 ≤ 10^{6}) 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 64bit integer)
Example
Input:
3
1
2
3
Output:
1
5
13
Source limit is 500 bytes.
hide comments
rushout09:
20190912 17:38:58
This video will help you understand the concept:


quannguyenlhp:
20190812 11:02:59
Don't use the formula, try to come up with another solution less than 500b, it's more challenge. Last edit: 20190812 11:03:26 

hetp111:
20190524 21:59:35
For those who think 4th level should be 3rd level... here we are adding 2n1 triangles to the base of n1th level to find the nth level, so nth_lvl=(n1)th_lvl + (2n1)smalltrianglesOnBase Last edit: 20190524 22:02:33 

klmo:
20190426 16:31:12
Whats the deal with the source code size limit!!! 

knir0103:
20190320 08:54:34
can calculate upwards and downwards separately, not necessarily using formula :) 

rahul11197:
20190319 12:49:39
ans=ceil ( (n*(n+2)*(2*n+1) ) / 2 ) 

vaibhav18_:
20190101 16:30:53
easy one if u know the formula


knakul853:
20181101 11:13:34
just find formula : ) 

masterchef2209:
20181018 14:52:35
costed too many WAs :( 

rohitjain00:
20180927 16:14:29
Java Users use Buffered Reader Instead of Scanner 
Added by:  nha.duong 
Date:  20070805 
Time limit:  1s 
Source limit:  500B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 ERL JSRHINO NODEJS OBJC PERL6 SQLITE VB.NET 
Resource:  Trần Huy Hưng 