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# Equal

Problem Description

Given an array A of N integers, find the index of values that satisfy P + Q = R + S, where P, Q, R & S are integers values in the array

Expected time complexity O(N2)

```NOTE:
1) Return the indices `A1 B1 C1 D1`, so that
A[A1] + A[B1] = A[C1] + A[D1]
A1 < B1, C1 < D1
A1 < C1, B1 != D1, B1 != C1 2) If there are more than one solutions,
then return the tuple of values which are lexicographical smallest. Assume we have two solutions
S1 : A1 B1 C1 D1 ( these are values of indices in the array )
S2 : A2 B2 C2 D2S1 is lexicographically smaller than S2 if:
A1 < A2 OR
A1 = A2 AND B1 < B2 OR
A1 = A2 AND B1 = B2 AND C1 < C2 OR
A1 = A2 AND B1 = B2 AND C1 = C2 AND D1 < D2
```
If no solution is possible, return an empty list.

Problem Constraints

1 <= N <= 1000

0 <= A[i] <= 1000

Input Format

First and only argument is an integer array A of length N.

Output Format

Return an array of size four which contains indices of values P, Q, R, and S.

Example Input

Input 1:

``` A = [3, 4, 7, 1, 2, 9, 8]
```

Input 2:

` A = [2, 5, 1, 6]`

Example Output

Output 1:

``` [0, 2, 3, 5]
```

Output 2:

` [0, 1, 2, 3]`

Example Explanation

Explanation 1:

``` A[0] + A[2] = A[3] + A[5]
Note: indexes returned should be 0-based.
```

Explanation 2:

` A[0] + A[1] = A[2] + A[3]`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
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## Discussion

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