코드 로직이 이상한가요?

시간 초과가 뜰 줄 알았는데 그냥 에러가 떠버리네요...?

public class Ch9_1 {
    public static class Person {
        int height, weight;
        Person(int h, int w) {
            height = h;
            weight = w;
        }
    }

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

        int n = sc.nextInt();

        ArrayList<Person> arr = new ArrayList<>();

        for(int i = 0; i < n; i++) {
            int h = sc.nextInt();
            int w = sc.nextInt();
            arr.add(new Person(h, w));
        }

        for(int i = 0; i < arr.size(); i++) {
            Person a = arr.get(i);
            for(int j = 0; j < arr.size(); j++) {
                Person b = arr.get(j);
                if(a.height < b.height && a.weight < b.weight) {
                    arr.remove(i);
                    break;
                }
            }
        }

        System.out.println(arr.size());
    }
}