- Practice
- Algorithms
- Greedy
- Maximum Perimeter Triangle

# Maximum Perimeter Triangle

# Maximum Perimeter Triangle

Given an array of stick lengths, use of them to construct a non-degenerate triange with the maximum possible perimeter. Print the lengths of its sides as space-separated integers in non-decreasing order.

If there are several valid triangles having the maximum perimeter:

- Choose the one with the
*longest maximum side*. - If more than one has that maximum, choose from them the one with the
*longest minimum side*. - If more than one has that maximum as well, print any one them.

If no non-degenerate triangle exists, print `-1`

.

For example, assume there are stick lengths . The triplet will not form a triangle. Neither will or , so the problem is reduced to and . The longer perimeter is .

**Function Description**

Complete the *maximumPerimeterTriangle* function in the editor below. It should return an array of integers that represent the side lengths of the chosen triangle in non-decreasing order.

maximumPerimeterTriangle has the following parameter(s):

*sticks*: an integer array that represents the lengths of sticks available

**Input Format**

The first line contains single integer , the size of array .

The second line contains space-separated integers , each a stick length.

**Constraints**

**Output Format**

Print the lengths of the chosen sticks as space-separated integers in *non-decreasing* order.

If no non-degenerate triangle can be formed, print `-1`

.

**Sample Input 0**

```
5
1 1 1 3 3
```

**Sample Output 0**

```
1 3 3
```

**Explanation 0**

There are possible unique triangles:

The second triangle has the largest perimeter, so we print its side lengths on a new line in non-decreasing order.

**Sample Input 1**

```
3
1 2 3
```

**Sample Output 1**

```
-1
```

**Explanation 1**

The triangle is degenerate and thus can't be constructed, so we print `-1`

on a new line.

**Sample Input 2**

```
6
1 1 1 2 3 5
```

**Sample Output 2**

```
1 1 1
```

**Explanation 2**

The triangle (1,1,1) is the only valid triangle.