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< p > Given an integer array < code > nums< / code > , return < em > the number of triplets chosen from the array that can make triangles if we take them as side lengths of a triangle< / em > .< / p >
< p > < / p >
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< p > < strong class = "example" > Example 1:< / strong > < / p >
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< pre >
< strong > Input:< / strong > nums = [2,2,3,4]
< strong > Output:< / strong > 3
< strong > Explanation:< / strong > Valid combinations are:
2,3,4 (using the first 2)
2,3,4 (using the second 2)
2,2,3
< / pre >
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< p > < strong class = "example" > Example 2:< / strong > < / p >
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< pre >
< strong > Input:< / strong > nums = [4,2,3,4]
< strong > Output:< / strong > 4
< / pre >
< p > < / p >
< p > < strong > Constraints:< / strong > < / p >
< ul >
< li > < code > 1 < = nums.length < = 1000< / code > < / li >
< li > < code > 0 < = nums[i] < = 1000< / code > < / li >
< / ul >