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
|
summer_2:
2018-05-23 19:14:11
explain the solution please?
|
|
shubham31:
2018-05-11 12:08:29
(n^2) + [ (n(n-1)/2] * [(3+(2*n - 1))/6], shows wrong answer... cross checked it. still no success.
|
|
riyadhrazzaq:
2018-03-24 18:25:35
There's two version of the formula. One uses floor function , another uses odd-even condition. I've used both of them and only got AC for odd-even condition. Can anybody explain that ? |
|
kkislay20:
2018-03-10 08:58:48
Use the direct formula...and long long int and you are good to go.
|
|
bradyawn:
2018-01-24 00:15:38
For those who are wondering why n = 3 is not 9, it is because triangle of not size 1 also count |
|
srjsunny:
2018-01-23 14:37:20
use P and C you will get triangles=n(n+2)(2n+1)/8 |
|
vikramvarun:
2018-01-12 11:07:58
SPOJ is the worst platform to practice coding. Gives TLE in R for simple operations as well. Do the admins/moderators do any work at all? Can't they see that time limit should be adjusted according to language. |
|
arul_verman:
2017-12-27 10:23:03
use long long int and the formula! Perfect AC ;) |
|
imshreyas:
2017-12-24 13:14:16
Please make use of long long int to avoid a WA even after using the correct formula |
|
pratikshit:
2017-10-22 08:50:36
only knowing the formula is enough for AC |
| 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 |
RSS