My solution - As simple as it can get:

import java.io.; import java.util.;

public class Solution {

public static void main(String[] args) {
    /* Enter your code here. Read input from STDIN. Print output to STDOUT. Your class should be named Solution. */
    Scanner scan = new Scanner(System.in);
    int num = scan.nextInt();
    int sum=0;
    int negSub = 0;
    String[] arr = new String[num];
    scan.nextLine();
    String n = scan.nextLine();
    arr = n.split(" ");
    for(int i=0;i<num;i++){

        for(int j=i+1;j<=num;j++){
            sum=0;
            String[] subArray = Arrays.copyOfRange(arr, i,j);
             //System.out.println(Arrays.toString(subArray));
             for(int w=0;w<subArray.length;w++){
                sum+=Integer.parseInt(subArray[w]);
             }
             if(sum<0){
                negSub++;
               }
              //System.out.println(sum);
        }  
    }
   System.out.println(negSub);


     scan.close();

} }