Problem:
Score : 200 points

Problem Statement

We have sticks numbered 1, \cdots, N. The length of Stick i (1 \leq i \leq N) is L_i.

In how many ways can we choose three of the sticks with different lengths that can form a triangle?

That is, find the number of triples of integers (i, j, k) (1 \leq i < j < k \leq N) that satisfy both of the following conditions:

L_i, L_j, and L_k are all different.

There exists a triangle whose sides have lengths L_i, L_j, and L_k.

Constraints

1 \leq N \leq 100

1 \leq L_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
L_1 L_2 \cdots L_N

Output

Print the number of ways to choose three of the sticks with different lengths that can form a triangle.

Sample Input 1

5
4 4 9 7 5

Sample Output 1

5

The following five triples (i, j, k) satisfy the conditions: (1, 3, 4), (1, 4, 5), (2, 3, 4), (2, 4, 5), and (3, 4, 5).

Sample Input 2

6
4 5 4 3 3 5

Sample Output 2

8

We have two sticks for each of the lengths 3, 4, and 5. To satisfy the first condition, we have to choose one from each length.

There is a triangle whose sides have lengths 3, 4, and 5, so we have 2 ^ 3 = 8 triples (i, j, k) that satisfy the conditions.

Sample Input 3

10
9 4 6 1 9 6 10 6 6 8

Sample Output 3

39

Sample Input 4

2
1 1

Sample Output 4

0

No triple (i, j, k) satisfies 1 \leq i < j < k \leq N, so we should print 0.

Solution in C (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <string.h>

int main(void)
{
    int n;
    scanf("%d",&n);
    int L[n];
    int i,j,k;
    int M;
    int ans=0;

    for (i=0; i<n; i++){
        scanf("%d",&L[i]);
    }

    int e1,e2,e3;
    for (i=0; i<n-2; i++){
        e1=L[i];
        for (j=i+1; j<n-1; j++){
            e2=L[j];
            for (k=j+1; k<n; k++){
                e3=L[k];
                if (e1==e2 || e2==e3 || e3==e1) continue;
                M=e1;
                if (e2>M) M=e2;
                if (e3>M) M=e3;
                if (2*M>=e1+e2+e3) continue;
                // printf("%d %d %d\n",e1,e2,e3);
                ans++;
            }
        }
    }
    printf("%d\n",ans);
}