NOTATRI  Not a Triangle
You have N (3 ≤ N ≤ 2,000) wooden sticks, which are labeled from 1 to N. The ith stick has a length of L_{i} (1 ≤ L_{i} ≤ 1,000,000). Your friend has challenged you to a simple game: you will pick three sticks at random, and if your friend can form a triangle with them (degenerate triangles included), he wins; otherwise, you win. You are not sure if your friend is trying to trick you, so you would like to determine your chances of winning by computing the number of ways you could choose three sticks (regardless of order) such that it is impossible to form a triangle with them.
Input
The input file consists of multiple test cases. Each test case starts with the single integer N, followed by a line with the integers L_{1}, ..., L_{N}. The input is terminated with N = 0, which should not be processed.
Output
For each test case, output a single line containing the number of triples.
Example
Input: 3 4 2 10 3 1 2 3 4 5 2 9 6 0 Output: 1 0 2
For the first test case, 4 + 2 < 10, so you will win with the one available triple. For the second case, 1 + 2 is equal to 3; since degenerate triangles are allowed, the answer is 0.
hide comments
raghav_chawla7:
20180226 10:29:05
sticks of equal length are considered different


kaushikvallela:
20180204 08:04:44
AC in one go...


codeking123:
20180125 16:12:52
good for beginers


avik26091998:
20171202 14:33:13
two pointers.. 

stranger77:
20170820 09:00:00
sticks of equal length is considered different because of labelling from 1 to N 

suchith:
20170805 08:23:39
done with O(n^2*log(n)). good problems for beginners and there can be multiple sticks with same length


codiyapa420:
20170523 14:27:45
@lalwr nice fake alca :)


deep_1:
20170323 04:06:38
easy O(n^2*lg(n)) ..... AC in one go!!!!! 

nilabja16180:
20170322 12:43:14
There can be multiple stick of same length, got me a WA! 

da_201501181:
20170212 15:10:41
AC in one GO..!!

Added by:  Neal Wu 
Date:  20080803 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO 