` ````
```

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Given an array consists of non-negative integers, your task is to count the number of triplets chosen from the array that can make triangles if we take them as side lengths of a triangle.

**Example 1:**

Input:[2,2,3,4]Output:3Explanation:Valid combinations are: 2,3,4 (using the first 2) 2,3,4 (using the second 2) 2,2,3

**Note:**

- The length of the given array won't exceed 1000.
- The integers in the given array are in the range of [0, 1000].

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