Problem:
Score : 200 points

Problem Statement

It's now the season of TAKOYAKI FESTIVAL!

This year, N takoyaki (a ball-shaped food with a piece of octopus inside) will be served. The deliciousness of the i-th takoyaki is d_i.

As is commonly known, when you eat two takoyaki of deliciousness x and y together, you restore x \times y health points.

There are \frac{N \times (N - 1)}{2} ways to choose two from the N takoyaki served in the festival. For each of these choices, find the health points restored from eating the two takoyaki, then compute the sum of these \frac{N \times (N - 1)}{2} values.

Constraints

All values in input are integers.

2 \leq N \leq 50

0 \leq d_i \leq 100

Input

Input is given from Standard Input in the following format:

N
d_1 d_2 ... d_N

Output

Print the sum of the health points restored from eating two takoyaki over all possible choices of two takoyaki from the N takoyaki served.

Sample Input 1

3
3 1 2

Sample Output 1

11

There are three possible choices:

Eat the first and second takoyaki. You will restore 3 health points.

Eat the second and third takoyaki. You will restore 2 health points.

Eat the first and third takoyaki. You will restore 6 health points.

The sum of these values is 11.

Sample Input 2

7
5 0 7 8 3 3 2

Sample Output 2

312

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.ArrayList;
import java.util.Scanner;


public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);

    int n = sc.nextInt();

    String str = sc.next();
    ArrayList<Integer> di = new ArrayList<>();

    for(int i = 0; i< str.length(); i++){
    	String s = String.valueOf(str.charAt(i));
    	if(Integer.valueOf(s) > 0) {
    		di.add(Integer.valueOf(s));
    	}
    }

    int count = n * (n - 1) / 2;

    ArrayList<Integer> sa = new ArrayList<>();
    ArrayList<Integer> ka = new ArrayList<>();
    ka = (ArrayList<Integer>) di.clone();

    for(int i = 0; i < di.size();i++){
    	ka.remove(0);
    	for(int j =0; j  < ka.size(); j++) {
    		sa.add(di.get(i) * ka.get(j));
        	}
    	}

    int ans = 0;
	for(int a:sa) {
		ans += a;
	}
	System.out.println(ans);
  }
}