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)


#pragma warning(disable:4996)

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define _USE_MATH_DEFINES
#include <math.h>
#include <float.h>

#pragma region 定義
typedef long long  ll;
typedef unsigned long long  ull;


#define _itoa(A,N) sprintf(A, "%d", N);

int i_dsort(const void* a, const void* b);
int i_asort(const void* a, const void* b);

int  _gcd(int a, int b);
int  _swp(int* a, int* b);
int _cknum(char* a, int n);
int _atoi(char* s, int len);

int s_asort(const void* a, const void* b);
int s_dsort(const void* a, const void* b);

//昇順
int s_asort(const void* a, const void* b) {
	return(strcmp((char*)a, (char*)b));
}
int s_dsort(const void* a, const void* b) {
	return(strcmp((char*)b, (char*)a));
}

int i_dsort(const void* a, const void* b) {
	return(*(int*)b - *(int*)a);
}
int i_asort(const void* a, const void* b) {
	return(*(int*)a - *(int*)b);
}

int i_gcd(int a, int b);
int i_gcd(int a, int b) {
	if (!b)return a;
	return i_gcd(b, a % b);
}
int i_lcm(int a, int b);
int i_lcm(int a, int b) {
	return (a * b) / i_gcd(a, b);
}
int ll_gcd(ll a, ll b);
int ll_gcd(ll a, ll b) {
	if (!b)return a;
	return ll_gcd(b, a % b);
}
int ll_lcm(ll a, ll b);
int ll_lcm(ll a, ll b) {
	return (a * b) / ll_gcd(a, b);
}

// puts("Yes\n") puts("No\n")
// scanf("%d.%d") 浮動小数点入力を整数２つで得る


//#define pai  3.1415926535 
//#define  _USE_MATH_DEFINES でM_PIが使える

#define deg_rad(X)  (X*(M_PI/180))


int _swp(int* a, int* b)
{
	int tmp;
	tmp = *b; *b = *a; *a = tmp;
	return 0;
}
#define _abs(x) ((x)>0?(x):-(x))
#define _min(x,y) ((x)<(y)?(x):(y))
#define _max(x,y) ((x)<(y)?(y):(x))

int _cknum(char* a, int n) {
	int i;
	char t = '0';

	for (i = 0; i < n; i++) {
		if (a[i] < '0' || a[i]>'9') return 1;
	}
	return 0;
}


int _atoi(char* s, int len) {
	char tmp[20];
	memcpy(tmp, s, len);
	tmp[len] = 0x00;
	return (atoi(tmp));
}
double dist(int x1, int y1, int x2, int y2);
double dist(int x1, int y1, int x2, int y2) {
	x1 -= x2;
	y1 -= y2;
	return sqrt((double)x1 * (double)x1 + 
		        (double)y1 * (double)y1);
}

//素因数分解　pf素数が入る　pc 素数の数
//ll _pfact(ll a);
//static ll pf[100000000];
//static ll pc;
//
//ll _pfact(ll a) {
//	long i, r;
//	if (a % 2 == 0) {
//		pf[pc] = 2; pc++;
//		return(_pfact(a / 2));
//	}
//	r = sqrt(a);
//	for (i = 3; i <= r; i += 2) {
//		if (a % i == 0) {
//			pf[pc] = i; pc++;
//			return(_pfact(a / i));
//		}
//	}
//	if (a != 1) {
//		pf[pc] = a; pc++;
//	}
//	return 0;
//
//}

//同じものの最初の文字をNULLにして降順
int _sort(const void* a, const void* b);
int _sort(const void* a, const void* b) {
	char rc;

	rc = strcmp((char*)b, (char*)a);
	if (rc == 0) {
		*(char*)a = 0x00;
		return(1);
	}
	return(rc);
}
// 立っている ビットの数
int bitcount(unsigned int uc);
int bitcount(unsigned int uc)
{
	int bit;

	for (bit = 0; 0 != uc; uc = (unsigned int)(uc >> 1))
		if (0 != (uc & 1))++bit;

	return bit;
}//bitco

//10進数の桁数の総和
int _sumdig(int n);
int _sumdig(int n) {
	int sum = 0;
	while (n > 0) {	sum += n % 10;n /= 10;}
	return(sum);
}
int combi(int n, int r);
int combi(int n, int r)
{
	if (r == 0 || r == n) return 1;
	return combi(n - 1, r) + combi(n - 1, r - 1);
}


#define _rnd(a,b)    ((a+b-1)/b) //　A/Bの余りを繰り上げる
#define _abs(x) ((x)<0 ? -(x) : (x))
#define _MAX 200000
#pragma endregion

// C - Sugar Water
//int main(void) {
//	int a, b, c, d, e, f;
//	int mn, mx;
//	scanf("%d%d%d%d%d%d", &a, &b, &c, &d, &e, &f);
//	
//	int tmp,i;
//	for (i = 1;; i++) {
//		tmp = i * 100 + i * e;
//		if (tmp > f) break;
//		if (i % a && i % b)continue;
//		if (i % c && i % d)continue;
//		break;
//	}
//
//	printf("%d %d", i * 100, tmp);
//	return 0;
//}

//D - Road to Millionaire
//static ll  a[81];
//int main(void) {
//	int n,i;
//	ll  c=1000,ans=1000,tmp,cnt=0;
//
//	scanf("%d", &n);
//
//	for(i=0;i<n;i++)
//	    scanf("%lld", &a[i]);
//  
//	tmp = 210;
//	for (i = 0; i < n; i++) {
//		if (tmp == a[i]) continue;
//
//		if (tmp < a[i]) {//売り
//			if (a[i] < a[i + 1])continue;
//			c += cnt * a[i]; 
//			tmp = a[i];
//			ans = _max(c, ans);
//			printf("<S＞i:%d a[i]:%lld ans:%lld \n",i, a[i], ans);
//		}
//		else {            //買い
//3			if (a[i] > a[i + 1])continue;
//			cnt = c / a[i];
//			c = c % a[i];
//			tmp = a[i];
//			printf("<B>i:%d a[i]:%lld  %lld\n", i,a[i],c);
//
//		}
//	}
//	printf("%lld\n",ans);
//	return 0;
//}
//

//
////AGC 011 A-Airport Bus
//double d_asort(const void* a, const void* b);
//double d_asort(const void* a, const void* b) {
//	return(*(double*)a - *(double*)b);
//}
//double t[100001];
//int main(void) {
//	int n,c,k;
//	
//	scanf("%d%d%d", &n,&c,&k);
//	for (int i = 0; i < n; i++) 
//		scanf("%lf", &t[i]);
//	
//	qsort(t, n, sizeof(double), d_asort);
//	
//	int cnt = 0;
//	double  f;
//	for (int i = 0; i < n; i++) {
//	
//
//
//		ans += (a[i] - tmp) * (a[i] - tmp);
//		
//	printf("%d\n", ans);
//}

//ABC175 A
static int l[101];
int main(void) {
	int tmp, i, n;

	scanf("%d", &n);

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

	int cnt = 0;
	if (n < 3) { printf("0\n"); return 0; }
	for (i = n-1; i >= 2; i--) {
		for (int j = i-1; j >= 1; j--) {
			for (int k =j-1; k >= 0; k--) {
				if (l[i] == l[j])continue;
				if (l[j] == l[k])continue;
				if (l[i] == l[k])continue;
				if (l[i] + l[j] + l[k] > _max(_max(l[j], l[k]), l[i]) * 2)
					cnt++;
			}
		}
	}
	
	printf("%d\n", cnt);
	return 0;
}